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    <link:label id="lab_ofc_PropertiesUnderConstructionRedevelopmentorContractuallyCommittedforConstructionMember_533D7CD8EF515A5BD61F1779FB9E707E_label_en-US" xlink:label="lab_ofc_PropertiesUnderConstructionRedevelopmentorContractuallyCommittedforConstructionMember_533D7CD8EF515A5BD61F1779FB9E707E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Properties Under Construction, Redevelopment or Contractually Committed for Construction [Member]</link:label>
    <link:label id="lab_ofc_PropertiesUnderConstructionRedevelopmentorContractuallyCommittedforConstructionMember_533D7CD8EF515A5BD61F1779FB9E707E_documentation_en-US" xlink:label="lab_ofc_PropertiesUnderConstructionRedevelopmentorContractuallyCommittedforConstructionMember_533D7CD8EF515A5BD61F1779FB9E707E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents properties under, or contractually committed for, construction or approved for redevelopment.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_PropertiesUnderConstructionRedevelopmentorContractuallyCommittedforConstructionMember" xlink:label="loc_ofc_PropertiesUnderConstructionRedevelopmentorContractuallyCommittedforConstructionMember_533D7CD8EF515A5BD61F1779FB9E707E" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_PropertiesUnderConstructionRedevelopmentorContractuallyCommittedforConstructionMember_533D7CD8EF515A5BD61F1779FB9E707E" xlink:to="lab_ofc_PropertiesUnderConstructionRedevelopmentorContractuallyCommittedforConstructionMember_533D7CD8EF515A5BD61F1779FB9E707E" xlink:type="arc" />
    <link:label id="lab_ofc_LandControlledforFutureDevelopmentMember_22FCC3B9CE49CF73CFCF1779FB9E167C_terseLabel_en-US" xlink:label="lab_ofc_LandControlledforFutureDevelopmentMember_22FCC3B9CE49CF73CFCF1779FB9E167C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Land controlled for future development</link:label>
    <link:label id="lab_ofc_LandControlledforFutureDevelopmentMember_22FCC3B9CE49CF73CFCF1779FB9E167C_label_en-US" xlink:label="lab_ofc_LandControlledforFutureDevelopmentMember_22FCC3B9CE49CF73CFCF1779FB9E167C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Land Controlled for Future Development [Member]</link:label>
    <link:label id="lab_ofc_LandControlledforFutureDevelopmentMember_22FCC3B9CE49CF73CFCF1779FB9E167C_documentation_en-US" xlink:label="lab_ofc_LandControlledforFutureDevelopmentMember_22FCC3B9CE49CF73CFCF1779FB9E167C" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents land controlled by the entity for future development.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_LandControlledforFutureDevelopmentMember" xlink:label="loc_ofc_LandControlledforFutureDevelopmentMember_22FCC3B9CE49CF73CFCF1779FB9E167C" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_LandControlledforFutureDevelopmentMember_22FCC3B9CE49CF73CFCF1779FB9E167C" xlink:to="lab_ofc_LandControlledforFutureDevelopmentMember_22FCC3B9CE49CF73CFCF1779FB9E167C" xlink:type="arc" />
    <link:label id="lab_ofc_OtherLandMember_4A0C82A3E6DC27063CFA1779FB9E7385_terseLabel_en-US" xlink:label="lab_ofc_OtherLandMember_4A0C82A3E6DC27063CFA1779FB9E7385" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other Land</link:label>
    <link:label id="lab_ofc_OtherLandMember_4A0C82A3E6DC27063CFA1779FB9E7385_label_en-US" xlink:label="lab_ofc_OtherLandMember_4A0C82A3E6DC27063CFA1779FB9E7385" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Land [Member]</link:label>
    <link:label id="lab_ofc_OtherLandMember_4A0C82A3E6DC27063CFA1779FB9E7385_documentation_en-US" xlink:label="lab_ofc_OtherLandMember_4A0C82A3E6DC27063CFA1779FB9E7385" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Other Land [Member]</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_OtherLandMember" xlink:label="loc_ofc_OtherLandMember_4A0C82A3E6DC27063CFA1779FB9E7385" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_OtherLandMember_4A0C82A3E6DC27063CFA1779FB9E7385" xlink:to="lab_ofc_OtherLandMember_4A0C82A3E6DC27063CFA1779FB9E7385" xlink:type="arc" />
    <link:label id="lab_ofc_WholesaleDataCenterMember_8F911C2C0A0540D9768B1779FB9E2FEE_terseLabel_en-US" xlink:label="lab_ofc_WholesaleDataCenterMember_8F911C2C0A0540D9768B1779FB9E2FEE" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Operating wholesale data centers</link:label>
    <link:label id="lab_ofc_WholesaleDataCenterMember_8F911C2C0A0540D9768B1779FB9E2FEE_label_en-US" xlink:label="lab_ofc_WholesaleDataCenterMember_8F911C2C0A0540D9768B1779FB9E2FEE" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Wholesale Data Center [Member]</link:label>
    <link:label id="lab_ofc_WholesaleDataCenterMember_8F911C2C0A0540D9768B1779FB9E2FEE_documentation_en-US" xlink:label="lab_ofc_WholesaleDataCenterMember_8F911C2C0A0540D9768B1779FB9E2FEE" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the wholesale data center segment of the entity.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_WholesaleDataCenterMember" xlink:label="loc_ofc_WholesaleDataCenterMember_8F911C2C0A0540D9768B1779FB9E2FEE" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_WholesaleDataCenterMember_8F911C2C0A0540D9768B1779FB9E2FEE" xlink:to="lab_ofc_WholesaleDataCenterMember_8F911C2C0A0540D9768B1779FB9E2FEE" xlink:type="arc" />
    <link:label id="lab_us-gaap_RealEstatePropertiesAxis_8EE4898A04C6566CFD081779FB9E9DF0_terseLabel_en-US" xlink:label="lab_us-gaap_RealEstatePropertiesAxis_8EE4898A04C6566CFD081779FB9E9DF0" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Real Estate Properties [Axis]</link:label>
    <link:label id="lab_us-gaap_RealEstatePropertiesAxis_8EE4898A04C6566CFD081779FB9E9DF0_label_en-US" xlink:label="lab_us-gaap_RealEstatePropertiesAxis_8EE4898A04C6566CFD081779FB9E9DF0" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate Property Ownership [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RealEstatePropertiesAxis" xlink:label="loc_us-gaap_RealEstatePropertiesAxis_8EE4898A04C6566CFD081779FB9E9DF0" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealEstatePropertiesAxis_8EE4898A04C6566CFD081779FB9E9DF0" xlink:to="lab_us-gaap_RealEstatePropertiesAxis_8EE4898A04C6566CFD081779FB9E9DF0" xlink:type="arc" />
    <link:label id="lab_us-gaap_RealEstatePropertiesDomain_29712B70EB92B6AFB0981779FB9E8E58_terseLabel_en-US" xlink:label="lab_us-gaap_RealEstatePropertiesDomain_29712B70EB92B6AFB0981779FB9E8E58" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Real Estate Properties [Domain]</link:label>
    <link:label id="lab_us-gaap_RealEstatePropertiesDomain_29712B70EB92B6AFB0981779FB9E8E58_label_en-US" xlink:label="lab_us-gaap_RealEstatePropertiesDomain_29712B70EB92B6AFB0981779FB9E8E58" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate Properties [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RealEstatePropertiesDomain" xlink:label="loc_us-gaap_RealEstatePropertiesDomain_29712B70EB92B6AFB0981779FB9E8E58" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealEstatePropertiesDomain_29712B70EB92B6AFB0981779FB9E8E58" xlink:to="lab_us-gaap_RealEstatePropertiesDomain_29712B70EB92B6AFB0981779FB9E8E58" xlink:type="arc" />
    <link:label id="lab_ofc_OfficePropertiesMember_CF3D53185BA916F95EED1779FB9E3B6E_terseLabel_en-US" xlink:label="lab_ofc_OfficePropertiesMember_CF3D53185BA916F95EED1779FB9E3B6E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Office Properties</link:label>
    <link:label id="lab_ofc_OfficePropertiesMember_CF3D53185BA916F95EED1779FB9E3B6E_label_en-US" xlink:label="lab_ofc_OfficePropertiesMember_CF3D53185BA916F95EED1779FB9E3B6E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Office Properties [Member]</link:label>
    <link:label id="lab_ofc_OfficePropertiesMember_CF3D53185BA916F95EED1779FB9E3B6E_documentation_en-US" xlink:label="lab_ofc_OfficePropertiesMember_CF3D53185BA916F95EED1779FB9E3B6E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Office Properties [Member]</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_OfficePropertiesMember" xlink:label="loc_ofc_OfficePropertiesMember_CF3D53185BA916F95EED1779FB9E3B6E" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_OfficePropertiesMember_CF3D53185BA916F95EED1779FB9E3B6E" xlink:to="lab_ofc_OfficePropertiesMember_CF3D53185BA916F95EED1779FB9E3B6E" xlink:type="arc" />
    <link:label id="lab_ofc_SingletenantDataCentersMember_4AF8EF98BAAEDA82D7D91779FB9EAFD8_terseLabel_en-US" xlink:label="lab_ofc_SingletenantDataCentersMember_4AF8EF98BAAEDA82D7D91779FB9EAFD8" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Single-tenant data centers</link:label>
    <link:label id="lab_ofc_SingletenantDataCentersMember_4AF8EF98BAAEDA82D7D91779FB9EAFD8_label_en-US" xlink:label="lab_ofc_SingletenantDataCentersMember_4AF8EF98BAAEDA82D7D91779FB9EAFD8" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Single-tenant Data Centers [Member]</link:label>
    <link:label id="lab_ofc_SingletenantDataCentersMember_4AF8EF98BAAEDA82D7D91779FB9EAFD8_documentation_en-US" xlink:label="lab_ofc_SingletenantDataCentersMember_4AF8EF98BAAEDA82D7D91779FB9EAFD8" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents single-tenant data centers owned by the entity.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_SingletenantDataCentersMember" xlink:label="loc_ofc_SingletenantDataCentersMember_4AF8EF98BAAEDA82D7D91779FB9EAFD8" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_SingletenantDataCentersMember_4AF8EF98BAAEDA82D7D91779FB9EAFD8" xlink:to="lab_ofc_SingletenantDataCentersMember_4AF8EF98BAAEDA82D7D91779FB9EAFD8" xlink:type="arc" />
    <link:label id="lab_ofc_PartiallyOperationalPropertiesMember_2EC96D421CB56662116E1779FB9E4721_terseLabel_en-US" xlink:label="lab_ofc_PartiallyOperationalPropertiesMember_2EC96D421CB56662116E1779FB9E4721" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Partially operational properties</link:label>
    <link:label id="lab_ofc_PartiallyOperationalPropertiesMember_2EC96D421CB56662116E1779FB9E4721_label_en-US" xlink:label="lab_ofc_PartiallyOperationalPropertiesMember_2EC96D421CB56662116E1779FB9E4721" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Partially Operational Properties [Member]</link:label>
    <link:label id="lab_ofc_PartiallyOperationalPropertiesMember_2EC96D421CB56662116E1779FB9E4721_documentation_en-US" xlink:label="lab_ofc_PartiallyOperationalPropertiesMember_2EC96D421CB56662116E1779FB9E4721" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents office properties under construction or redevelopment which are owned by the entity and which are partially operational.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_PartiallyOperationalPropertiesMember" xlink:label="loc_ofc_PartiallyOperationalPropertiesMember_2EC96D421CB56662116E1779FB9E4721" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_PartiallyOperationalPropertiesMember_2EC96D421CB56662116E1779FB9E4721" xlink:to="lab_ofc_PartiallyOperationalPropertiesMember_2EC96D421CB56662116E1779FB9E4721" xlink:type="arc" />
    <link:label id="lab_us-gaap_RealEstatePropertiesLineItems_B13D3A4D868E53118D011779FB9EB25B_terseLabel_en-US" xlink:label="lab_us-gaap_RealEstatePropertiesLineItems_B13D3A4D868E53118D011779FB9EB25B" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments in real estate</link:label>
    <link:label id="lab_us-gaap_RealEstatePropertiesLineItems_B13D3A4D868E53118D011779FB9EB25B_label_en-US" xlink:label="lab_us-gaap_RealEstatePropertiesLineItems_B13D3A4D868E53118D011779FB9EB25B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate Properties [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RealEstatePropertiesLineItems" xlink:label="loc_us-gaap_RealEstatePropertiesLineItems_B13D3A4D868E53118D011779FB9EB25B" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealEstatePropertiesLineItems_B13D3A4D868E53118D011779FB9EB25B" xlink:to="lab_us-gaap_RealEstatePropertiesLineItems_B13D3A4D868E53118D011779FB9EB25B" xlink:type="arc" />
    <link:label id="lab_us-gaap_NumberOfRealEstateProperties_A43ABB2682C2C06F62FE1779FB9EAD2F_terseLabel_en-US" xlink:label="lab_us-gaap_NumberOfRealEstateProperties_A43ABB2682C2C06F62FE1779FB9EAD2F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of real estate properties</link:label>
    <link:label id="lab_us-gaap_NumberOfRealEstateProperties_A43ABB2682C2C06F62FE1779FB9EAD2F_label_en-US" xlink:label="lab_us-gaap_NumberOfRealEstateProperties_A43ABB2682C2C06F62FE1779FB9EAD2F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Real Estate Properties</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_NumberOfRealEstateProperties" xlink:label="loc_us-gaap_NumberOfRealEstateProperties_A43ABB2682C2C06F62FE1779FB9EAD2F" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NumberOfRealEstateProperties_A43ABB2682C2C06F62FE1779FB9EAD2F" xlink:to="lab_us-gaap_NumberOfRealEstateProperties_A43ABB2682C2C06F62FE1779FB9EAD2F" xlink:type="arc" />
    <link:label id="lab_us-gaap_AreaOfRealEstateProperty_5ECC65866BE0508BA54D1779FB9F1539_verboseLabel_en-US" xlink:label="lab_us-gaap_AreaOfRealEstateProperty_5ECC65866BE0508BA54D1779FB9F1539" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Area of real estate property (in square feet or acres)</link:label>
    <link:label id="lab_us-gaap_AreaOfRealEstateProperty_5ECC65866BE0508BA54D1779FB9F1539_label_en-US" xlink:label="lab_us-gaap_AreaOfRealEstateProperty_5ECC65866BE0508BA54D1779FB9F1539" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Area of Real Estate Property</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_AreaOfRealEstateProperty" xlink:label="loc_us-gaap_AreaOfRealEstateProperty_5ECC65866BE0508BA54D1779FB9F1539" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AreaOfRealEstateProperty_5ECC65866BE0508BA54D1779FB9F1539" xlink:to="lab_us-gaap_AreaOfRealEstateProperty_5ECC65866BE0508BA54D1779FB9F1539" xlink:type="arc" />
    <link:label id="lab_ofc_CriticalLoad_0CF7BE51105BAC14F1FA1779FB9F3317_terseLabel_en-US" xlink:label="lab_ofc_CriticalLoad_0CF7BE51105BAC14F1FA1779FB9F3317" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Critical load (in megawatts)</link:label>
    <link:label id="lab_ofc_CriticalLoad_0CF7BE51105BAC14F1FA1779FB9F3317_label_en-US" xlink:label="lab_ofc_CriticalLoad_0CF7BE51105BAC14F1FA1779FB9F3317" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Critical Load</link:label>
    <link:label id="lab_ofc_CriticalLoad_0CF7BE51105BAC14F1FA1779FB9F3317_documentation_en-US" xlink:label="lab_ofc_CriticalLoad_0CF7BE51105BAC14F1FA1779FB9F3317" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the amount of the critical load of the property. Critical load is the amount of megawatts of power made available for the exclusive use tenants in the property.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_CriticalLoad" xlink:label="loc_ofc_CriticalLoad_0CF7BE51105BAC14F1FA1779FB9F3317" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_CriticalLoad_0CF7BE51105BAC14F1FA1779FB9F3317" xlink:to="lab_ofc_CriticalLoad_0CF7BE51105BAC14F1FA1779FB9F3317" xlink:type="arc" />
    <link:label id="lab_us-gaap_ReceivablesAbstract_9E63D5757FB5CB8F17AAAB70FC4CB124_label_en-US" xlink:label="lab_us-gaap_ReceivablesAbstract_9E63D5757FB5CB8F17AAAB70FC4CB124" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Receivables [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_ReceivablesAbstract" xlink:label="loc_us-gaap_ReceivablesAbstract_9E63D5757FB5CB8F17AAAB70FC4CB124" xlink:type="locator" />
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    <link:label id="lab_us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable_CB13B0BE51C95F22161FAB70FC4C34C5_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable_CB13B0BE51C95F22161FAB70FC4C34C5" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Accounts, Notes, Loans and Financing Receivable [Table]</link:label>
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    <link:label id="lab_ofc_ReconciliationofOperatingIncomefromUnconsolidatedJointVenturestoEquityMethodInvestmentsAbstract_80DB0716DC35B2F6FC82F3DB9D02A8EC_terseLabel_en-US" xlink:label="lab_ofc_ReconciliationofOperatingIncomefromUnconsolidatedJointVenturestoEquityMethodInvestmentsAbstract_80DB0716DC35B2F6FC82F3DB9D02A8EC" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reconciliation of UJV NOI allocable to COPT to Equity Income in Unconsolidated Entities</link:label>
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    <link:label id="lab_us-gaap_TitleOfIndividualAxis_90D4AB38F601961B364B08FADECC6D20_label_en-US" xlink:label="lab_us-gaap_TitleOfIndividualAxis_90D4AB38F601961B364B08FADECC6D20" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Title of Individual [Axis]</link:label>
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    <link:label id="lab_us-gaap_OfficerMember_6151BD3B5664FE5D0B490902BC4BBAE9_terseLabel_en-US" xlink:label="lab_us-gaap_OfficerMember_6151BD3B5664FE5D0B490902BC4BBAE9" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Executives</link:label>
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    <link:label id="lab_ofc_DeferredCompensationArrangementwithIndividualNumberofIndividuals_3C22D995DAC207DEBE7A08FADECC7D12_terseLabel_en-US" xlink:label="lab_ofc_DeferredCompensationArrangementwithIndividualNumberofIndividuals_3C22D995DAC207DEBE7A08FADECC7D12" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of employees affected</link:label>
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    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankGreaterThanOrEqualsTo75_7D2C12F553C37C20B23408FADECC451D" xlink:to="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankGreaterThanOrEqualsTo75_7D2C12F553C37C20B23408FADECC451D" xlink:type="arc" />
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50_DF97131404C984C71E2A08FADECC61CD_terseLabel_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50_DF97131404C984C71E2A08FADECC61CD" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earned PSUs payout (as a percent of PSUs granted) on 50th percentile rank</link:label>
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50_DF97131404C984C71E2A08FADECC61CD_label_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50_DF97131404C984C71E2A08FADECC61CD" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award of Earned, Performance Share Units, Payout Percentage Based on Percentile Rank Equals to 50</link:label>
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50_DF97131404C984C71E2A08FADECC61CD_documentation_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50_DF97131404C984C71E2A08FADECC61CD" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the earned performance share units payout, as a percentage of performance share units granted, if the entity's total shareholder return relative to a peer group of companies ranks at the 50th percentile.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50" xlink:label="loc_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50_DF97131404C984C71E2A08FADECC61CD" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50_DF97131404C984C71E2A08FADECC61CD" xlink:to="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo50_DF97131404C984C71E2A08FADECC61CD" xlink:type="arc" />
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25_57ED965F25B8037994E208FADECCAF5C_terseLabel_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25_57ED965F25B8037994E208FADECCAF5C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earned PSUs payout (as a percent of PSUs granted) on 25th percentile rank</link:label>
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25_57ED965F25B8037994E208FADECCAF5C_label_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25_57ED965F25B8037994E208FADECCAF5C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award of Earned, Performance Share Units, Payout Percentage Based on Percentile Rank Equals to 25</link:label>
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25_57ED965F25B8037994E208FADECCAF5C_documentation_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25_57ED965F25B8037994E208FADECCAF5C" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the earned performance share units payout, as a percentage of performance share units granted, if the entity's total shareholder return relative to a peer group of companies ranks at the 25th percentile.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25" xlink:label="loc_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25_57ED965F25B8037994E208FADECCAF5C" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25_57ED965F25B8037994E208FADECCAF5C" xlink:to="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankEqualsTo25_57ED965F25B8037994E208FADECCAF5C" xlink:type="arc" />
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25_03ACED530D0BE60AC87D08FADECC1364_terseLabel_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25_03ACED530D0BE60AC87D08FADECC1364" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance share units granted on percentile rank below 25th (as a percent)</link:label>
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25_03ACED530D0BE60AC87D08FADECC1364_label_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25_03ACED530D0BE60AC87D08FADECC1364" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award of Earned, Performance Share Units, Payout Percentage Based on Percentile Rank Less than 25</link:label>
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25_03ACED530D0BE60AC87D08FADECC1364_documentation_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25_03ACED530D0BE60AC87D08FADECC1364" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the earned performance share units payout percentage based on percentile rank below 25.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25" xlink:label="loc_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25_03ACED530D0BE60AC87D08FADECC1364" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25_03ACED530D0BE60AC87D08FADECC1364" xlink:to="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardOfEarnedPerformanceShareUnitsPayoutPercentageBasedOnPercentileRankLessThan25_03ACED530D0BE60AC87D08FADECC1364" xlink:type="arc" />
    <link:label id="lab_ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu_05798A3F37148A2ABB5508FADECCBA5D_terseLabel_en-US" xlink:label="lab_ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu_05798A3F37148A2ABB5508FADECCBA5D" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">The number of percentile ranks to fall between to earn interpolated PSUs between such percentile ranks, conditioned on the percentile rank exceeding 25%</link:label>
    <link:label id="lab_ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu_05798A3F37148A2ABB5508FADECCBA5D_label_en-US" xlink:label="lab_ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu_05798A3F37148A2ABB5508FADECCBA5D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Percentile Ranks to Fall Between to Earn Interpolated PSU</link:label>
    <link:label id="lab_ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu_05798A3F37148A2ABB5508FADECCBA5D_documentation_en-US" xlink:label="lab_ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu_05798A3F37148A2ABB5508FADECCBA5D" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The number of percentile ranks to fall between to earn interpolated PSUs between such percentile ranks, conditioned on the percentile rank exceeding 25%.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu" xlink:label="loc_ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu_05798A3F37148A2ABB5508FADECCBA5D" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu_05798A3F37148A2ABB5508FADECCBA5D" xlink:to="lab_ofc_NumberOfPercentileRanksToFallBetweenToEarnInterpolatedPsu_05798A3F37148A2ABB5508FADECCBA5D" xlink:type="arc" />
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract_DD8AF27054471AAC043708FADECC4F84_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract_DD8AF27054471AAC043708FADECC4F84" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assumptions used to value stock awards</link:label>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract_DD8AF27054471AAC043708FADECC4F84_label_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract_DD8AF27054471AAC043708FADECC4F84" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract_DD8AF27054471AAC043708FADECC4F84" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract_DD8AF27054471AAC043708FADECC4F84" xlink:to="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsAndMethodologyAbstract_DD8AF27054471AAC043708FADECC4F84" xlink:type="arc" />
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1_33993B3F64E4593A151F08FADECC61B9_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1_33993B3F64E4593A151F08FADECC61B9" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance period of the award</link:label>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1_33993B3F64E4593A151F08FADECC61B9_label_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1_33993B3F64E4593A151F08FADECC61B9" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award, Award Requisite Service Period</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1_33993B3F64E4593A151F08FADECC61B9" xlink:type="locator" />
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    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_4B68397234DF4A934ACF08FADECC276B_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_4B68397234DF4A934ACF08FADECC276B" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average grant date fair value (in dollars per share)</link:label>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_4B68397234DF4A934ACF08FADECC276B_label_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_4B68397234DF4A934ACF08FADECC276B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_4B68397234DF4A934ACF08FADECC276B" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_4B68397234DF4A934ACF08FADECC276B" xlink:to="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_4B68397234DF4A934ACF08FADECC276B" xlink:type="arc" />
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue_2EF67FD44B42D8AA8B9108FADECC616A_terseLabel_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue_2EF67FD44B42D8AA8B9108FADECC616A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Baseline value per common share (in dollars per share)</link:label>
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue_2EF67FD44B42D8AA8B9108FADECC616A_label_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue_2EF67FD44B42D8AA8B9108FADECC616A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Baseline Common Share Value</link:label>
    <link:label id="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue_2EF67FD44B42D8AA8B9108FADECC616A_documentation_en-US" xlink:label="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue_2EF67FD44B42D8AA8B9108FADECC616A" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the baseline common share value that is used in valuing the grant date fair value of awards.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue" xlink:label="loc_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue_2EF67FD44B42D8AA8B9108FADECC616A" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue_2EF67FD44B42D8AA8B9108FADECC616A" xlink:to="lab_ofc_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsBaselineCommonShareValue_2EF67FD44B42D8AA8B9108FADECC616A" xlink:type="arc" />
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_9390244138790646C7B808FADECC9625_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_9390244138790646C7B808FADECC9625" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expected volatility of common shares (as a percent)</link:label>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_9390244138790646C7B808FADECC9625_label_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_9390244138790646C7B808FADECC9625" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Volatility Rate</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_9390244138790646C7B808FADECC9625" xlink:type="locator" />
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    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_E6FDC0250EC98841FCF508FADECC3946_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_E6FDC0250EC98841FCF508FADECC3946" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Risk-free interest rate (as a percent)</link:label>
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    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodValue_7E4D11D982D3622D5D3018BF98EC8AB5_negatedLabel_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodValue_7E4D11D982D3622D5D3018BF98EC8AB5" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Redemption of vested equity awards</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_StockRepurchasedDuringPeriodValue" xlink:label="loc_us-gaap_StockRepurchasedDuringPeriodValue_7E4D11D982D3622D5D3018BF98EC8AB5" xlink:type="locator" />
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    <link:label id="lab_us-gaap_NoncontrollingInterestIncreaseFromSubsidiaryEquityIssuance_6A289DDF95006234582B18BF98EC23CA_label_en-US" xlink:label="lab_us-gaap_NoncontrollingInterestIncreaseFromSubsidiaryEquityIssuance_6A289DDF95006234582B18BF98EC23CA" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Noncontrolling Interest, Increase from Subsidiary Equity Issuance</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_NoncontrollingInterestIncreaseFromSubsidiaryEquityIssuance" xlink:label="loc_us-gaap_NoncontrollingInterestIncreaseFromSubsidiaryEquityIssuance_6A289DDF95006234582B18BF98EC23CA" xlink:type="locator" />
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    <link:label id="lab_ofc_ComprehensiveIncomeLossNetOfTaxAfterRedeemableNoncontrollingInterestAdjustments_DF5CD34987533EBFD04118BF98EC7641_terseLabel_en-US" xlink:label="lab_ofc_ComprehensiveIncomeLossNetOfTaxAfterRedeemableNoncontrollingInterestAdjustments_DF5CD34987533EBFD04118BF98EC7641" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Comprehensive income</link:label>
    <link:label id="lab_ofc_ComprehensiveIncomeLossNetOfTaxAfterRedeemableNoncontrollingInterestAdjustments_DF5CD34987533EBFD04118BF98EC7641_label_en-US" xlink:label="lab_ofc_ComprehensiveIncomeLossNetOfTaxAfterRedeemableNoncontrollingInterestAdjustments_DF5CD34987533EBFD04118BF98EC7641" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Comprehensive Income (Loss), Net of Tax, After Redeemable Noncontrolling Interest Adjustments</link:label>
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    <link:loc xlink:href="ofc-20180331.xsd#ofc_ComprehensiveIncomeLossNetOfTaxAfterRedeemableNoncontrollingInterestAdjustments" xlink:label="loc_ofc_ComprehensiveIncomeLossNetOfTaxAfterRedeemableNoncontrollingInterestAdjustments_DF5CD34987533EBFD04118BF98EC7641" xlink:type="locator" />
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    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_AC4023989EF688F7EC8E18BF98EC8807_periodEndLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding_AC4023989EF688F7EC8E18BF98EC8807" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Balance (in units/shares)</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_CommonStockSharesOutstanding" xlink:label="loc_us-gaap_CommonStockSharesOutstanding_AC4023989EF688F7EC8E18BF98EC8807" xlink:type="locator" />
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    <link:label id="lab_us-gaap_PreferredUnitsOutstanding_ECC3EA88F1D5D925231E18BF98ECEADB_periodEndLabel_en-US" xlink:label="lab_us-gaap_PreferredUnitsOutstanding_ECC3EA88F1D5D925231E18BF98ECEADB" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Balance (preferred units)</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_PreferredUnitsOutstanding" xlink:label="loc_us-gaap_PreferredUnitsOutstanding_ECC3EA88F1D5D925231E18BF98ECEADB" xlink:type="locator" />
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    <link:label id="lab_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_018A7444A83D8E8ADB0618BF98EC9C2D_periodEndLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_018A7444A83D8E8ADB0618BF98EC9C2D" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Balance (COPT: 99,390,234 shares and 102,150,358 shares as of March 31, 2017 and 2018, respectively)</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_018A7444A83D8E8ADB0618BF98EC9C2D" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_018A7444A83D8E8ADB0618BF98EC9C2D" xlink:to="lab_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_018A7444A83D8E8ADB0618BF98EC9C2D" xlink:type="arc" />
    <link:label id="lab_ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock_79A1E10DDE831491CE2DF4A45E223886_terseLabel_en-US" xlink:label="lab_ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock_79A1E10DDE831491CE2DF4A45E223886" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of payouts for defined performance under performance-based awards of share-based compensation</link:label>
    <link:label id="lab_ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock_79A1E10DDE831491CE2DF4A45E223886_label_en-US" xlink:label="lab_ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock_79A1E10DDE831491CE2DF4A45E223886" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Share-based Compensation Arrangement by Share-based Payment Award for Defined Performance [Table Text Block]</link:label>
    <link:label id="lab_ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock_79A1E10DDE831491CE2DF4A45E223886_documentation_en-US" xlink:label="lab_ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock_79A1E10DDE831491CE2DF4A45E223886" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of payouts for defined performance under performance-based awards of share-based compensation</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock" xlink:label="loc_ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock_79A1E10DDE831491CE2DF4A45E223886" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock_79A1E10DDE831491CE2DF4A45E223886" xlink:to="lab_ofc_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardForDefinedPerformanceTableTextBlock_79A1E10DDE831491CE2DF4A45E223886" xlink:type="arc" />
    <link:label id="lab_us-gaap_DebtDisclosureAbstract_CD09A5AF259C8B8BD05F08FADEFD86D7_label_en-US" xlink:label="lab_us-gaap_DebtDisclosureAbstract_CD09A5AF259C8B8BD05F08FADEFD86D7" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Disclosure [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DebtDisclosureAbstract" xlink:label="loc_us-gaap_DebtDisclosureAbstract_CD09A5AF259C8B8BD05F08FADEFD86D7" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtDisclosureAbstract_CD09A5AF259C8B8BD05F08FADEFD86D7" xlink:to="lab_us-gaap_DebtDisclosureAbstract_CD09A5AF259C8B8BD05F08FADEFD86D7" xlink:type="arc" />
    <link:label id="lab_us-gaap_DebtInstrumentTable_92F8DC3D1EE1D9A69AD908FADEFDB32E_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentTable_92F8DC3D1EE1D9A69AD908FADEFDB32E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Long-term Debt Instruments [Table]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentTable_92F8DC3D1EE1D9A69AD908FADEFDB32E_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentTable_92F8DC3D1EE1D9A69AD908FADEFDB32E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Long-term Debt Instruments [Table]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DebtInstrumentTable" xlink:label="loc_us-gaap_DebtInstrumentTable_92F8DC3D1EE1D9A69AD908FADEFDB32E" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentTable_92F8DC3D1EE1D9A69AD908FADEFDB32E" xlink:to="lab_us-gaap_DebtInstrumentTable_92F8DC3D1EE1D9A69AD908FADEFDB32E" xlink:type="arc" />
    <link:label id="lab_us-gaap_DebtInstrumentAxis_225BAACD50CC2F3361AA08FADEFD3824_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentAxis_225BAACD50CC2F3361AA08FADEFD3824" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument [Axis]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentAxis_225BAACD50CC2F3361AA08FADEFD3824_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentAxis_225BAACD50CC2F3361AA08FADEFD3824" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DebtInstrumentAxis" xlink:label="loc_us-gaap_DebtInstrumentAxis_225BAACD50CC2F3361AA08FADEFD3824" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentAxis_225BAACD50CC2F3361AA08FADEFD3824" xlink:to="lab_us-gaap_DebtInstrumentAxis_225BAACD50CC2F3361AA08FADEFD3824" xlink:type="arc" />
    <link:label id="lab_us-gaap_DebtInstrumentNameDomain_421FDAB247A3A8B90A2F08FADEFD0331_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentNameDomain_421FDAB247A3A8B90A2F08FADEFD0331" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument, Name [Domain]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentNameDomain_421FDAB247A3A8B90A2F08FADEFD0331_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentNameDomain_421FDAB247A3A8B90A2F08FADEFD0331" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Name [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DebtInstrumentNameDomain" xlink:label="loc_us-gaap_DebtInstrumentNameDomain_421FDAB247A3A8B90A2F08FADEFD0331" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentNameDomain_421FDAB247A3A8B90A2F08FADEFD0331" xlink:to="lab_us-gaap_DebtInstrumentNameDomain_421FDAB247A3A8B90A2F08FADEFD0331" xlink:type="arc" />
    <link:label id="lab_ofc_FixedRateSecuredDebtMember_D77DDBDA3E81F2E9AED208FADEFD36AB_terseLabel_en-US" xlink:label="lab_ofc_FixedRateSecuredDebtMember_D77DDBDA3E81F2E9AED208FADEFD36AB" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fixed rate debt</link:label>
    <link:label id="lab_ofc_FixedRateSecuredDebtMember_D77DDBDA3E81F2E9AED208FADEFD36AB_label_en-US" xlink:label="lab_ofc_FixedRateSecuredDebtMember_D77DDBDA3E81F2E9AED208FADEFD36AB" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fixed Rate Secured Debt [Member]</link:label>
    <link:label id="lab_ofc_FixedRateSecuredDebtMember_D77DDBDA3E81F2E9AED208FADEFD36AB_documentation_en-US" xlink:label="lab_ofc_FixedRateSecuredDebtMember_D77DDBDA3E81F2E9AED208FADEFD36AB" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">A collateralized debt obligation (backed by pledge, mortgage or other lien on the entity's assets) bearing fixed interest rates.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_FixedRateSecuredDebtMember" xlink:label="loc_ofc_FixedRateSecuredDebtMember_D77DDBDA3E81F2E9AED208FADEFD36AB" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_FixedRateSecuredDebtMember_D77DDBDA3E81F2E9AED208FADEFD36AB" xlink:to="lab_ofc_FixedRateSecuredDebtMember_D77DDBDA3E81F2E9AED208FADEFD36AB" xlink:type="arc" />
    <link:label id="lab_ofc_VariableRateDebtMember_DC86EA2C87981EB3781A08FADEFDCD3B_verboseLabel_en-US" xlink:label="lab_ofc_VariableRateDebtMember_DC86EA2C87981EB3781A08FADEFDCD3B" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Variable-rate debt</link:label>
    <link:label id="lab_ofc_VariableRateDebtMember_DC86EA2C87981EB3781A08FADEFDCD3B_label_en-US" xlink:label="lab_ofc_VariableRateDebtMember_DC86EA2C87981EB3781A08FADEFDCD3B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Variable Rate Debt [Member]</link:label>
    <link:label id="lab_ofc_VariableRateDebtMember_DC86EA2C87981EB3781A08FADEFDCD3B_documentation_en-US" xlink:label="lab_ofc_VariableRateDebtMember_DC86EA2C87981EB3781A08FADEFDCD3B" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Variable Rate Debt</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_VariableRateDebtMember" xlink:label="loc_ofc_VariableRateDebtMember_DC86EA2C87981EB3781A08FADEFDCD3B" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_VariableRateDebtMember_DC86EA2C87981EB3781A08FADEFDCD3B" xlink:to="lab_ofc_VariableRateDebtMember_DC86EA2C87981EB3781A08FADEFDCD3B" xlink:type="arc" />
    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_C7F6FC1ED35CBC5CAF2908FADEFD302D_terseLabel_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember_C7F6FC1ED35CBC5CAF2908FADEFD302D" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility</link:label>
    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_C7F6FC1ED35CBC5CAF2908FADEFD302D_label_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember_C7F6FC1ED35CBC5CAF2908FADEFD302D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RevolvingCreditFacilityMember" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember_C7F6FC1ED35CBC5CAF2908FADEFD302D" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevolvingCreditFacilityMember_C7F6FC1ED35CBC5CAF2908FADEFD302D" xlink:to="lab_us-gaap_RevolvingCreditFacilityMember_C7F6FC1ED35CBC5CAF2908FADEFD302D" xlink:type="arc" />
    <link:label id="lab_ofc_TermLoanFacilitiesMember_1559C5D1C4935F6D2F7C08FADEFD9F6D_terseLabel_en-US" xlink:label="lab_ofc_TermLoanFacilitiesMember_1559C5D1C4935F6D2F7C08FADEFD9F6D" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Term Loan Facilities</link:label>
    <link:label id="lab_ofc_TermLoanFacilitiesMember_1559C5D1C4935F6D2F7C08FADEFD9F6D_label_en-US" xlink:label="lab_ofc_TermLoanFacilitiesMember_1559C5D1C4935F6D2F7C08FADEFD9F6D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Term Loan Facilities [Member]</link:label>
    <link:label id="lab_ofc_TermLoanFacilitiesMember_1559C5D1C4935F6D2F7C08FADEFD9F6D_documentation_en-US" xlink:label="lab_ofc_TermLoanFacilitiesMember_1559C5D1C4935F6D2F7C08FADEFD9F6D" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents unsecured term loan agreements entered into by entity.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_TermLoanFacilitiesMember" xlink:label="loc_ofc_TermLoanFacilitiesMember_1559C5D1C4935F6D2F7C08FADEFD9F6D" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_TermLoanFacilitiesMember_1559C5D1C4935F6D2F7C08FADEFD9F6D" xlink:to="lab_ofc_TermLoanFacilitiesMember_1559C5D1C4935F6D2F7C08FADEFD9F6D" xlink:type="arc" />
    <link:label id="lab_ofc_A3.60SeniorNotesMember_E4420436FC3E06DD50C008FADEFDC174_terseLabel_en-US" xlink:label="lab_ofc_A3.60SeniorNotesMember_E4420436FC3E06DD50C008FADEFDC174" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">3.60% Senior Notes</link:label>
    <link:label id="lab_ofc_A3.60SeniorNotesMember_E4420436FC3E06DD50C008FADEFDC174_label_en-US" xlink:label="lab_ofc_A3.60SeniorNotesMember_E4420436FC3E06DD50C008FADEFDC174" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">3.60% Senior Notes [Member]</link:label>
    <link:label id="lab_ofc_A3.60SeniorNotesMember_E4420436FC3E06DD50C008FADEFDC174_documentation_en-US" xlink:label="lab_ofc_A3.60SeniorNotesMember_E4420436FC3E06DD50C008FADEFDC174" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">3.60% Senior Notes [Member]</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_A3.60SeniorNotesMember" xlink:label="loc_ofc_A3.60SeniorNotesMember_E4420436FC3E06DD50C008FADEFDC174" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_A3.60SeniorNotesMember_E4420436FC3E06DD50C008FADEFDC174" xlink:to="lab_ofc_A3.60SeniorNotesMember_E4420436FC3E06DD50C008FADEFDC174" xlink:type="arc" />
    <link:label id="lab_ofc_A5.250SeniorNotesMember_C2295CE22C112129921108FADEFDD0BC_terseLabel_en-US" xlink:label="lab_ofc_A5.250SeniorNotesMember_C2295CE22C112129921108FADEFDD0BC" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">5.250% Senior Notes</link:label>
    <link:label id="lab_ofc_A5.250SeniorNotesMember_C2295CE22C112129921108FADEFDD0BC_label_en-US" xlink:label="lab_ofc_A5.250SeniorNotesMember_C2295CE22C112129921108FADEFDD0BC" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">5.250% Senior Notes [Member]</link:label>
    <link:label id="lab_ofc_A5.250SeniorNotesMember_C2295CE22C112129921108FADEFDD0BC_documentation_en-US" xlink:label="lab_ofc_A5.250SeniorNotesMember_C2295CE22C112129921108FADEFDD0BC" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">5.250% Senior Notes [Member]</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_A5.250SeniorNotesMember" xlink:label="loc_ofc_A5.250SeniorNotesMember_C2295CE22C112129921108FADEFDD0BC" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_A5.250SeniorNotesMember_C2295CE22C112129921108FADEFDD0BC" xlink:to="lab_ofc_A5.250SeniorNotesMember_C2295CE22C112129921108FADEFDD0BC" xlink:type="arc" />
    <link:label id="lab_ofc_A3.70SeniorNotesMember_922617F96D3719B5F1F908FADEFD5EB5_terseLabel_en-US" xlink:label="lab_ofc_A3.70SeniorNotesMember_922617F96D3719B5F1F908FADEFD5EB5" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">3.70% Senior Notes</link:label>
    <link:label id="lab_ofc_A3.70SeniorNotesMember_922617F96D3719B5F1F908FADEFD5EB5_label_en-US" xlink:label="lab_ofc_A3.70SeniorNotesMember_922617F96D3719B5F1F908FADEFD5EB5" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">3.70% Senior Notes [Member]</link:label>
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    <link:label id="lab_us-gaap_DebtInstrumentLineItems_CEA673459E64B1DB010208FADEFDFA03_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentLineItems_CEA673459E64B1DB010208FADEFDFA03" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument [Line Items]</link:label>
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    <link:label id="lab_us-gaap_LongTermDebt_934E6689347860C1FFC208FADEFD0BE7_verboseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebt_934E6689347860C1FFC208FADEFD0BE7" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Carrying Value</link:label>
    <link:label id="lab_us-gaap_LongTermDebt_934E6689347860C1FFC208FADEFD0BE7_label_en-US" xlink:label="lab_us-gaap_LongTermDebt_934E6689347860C1FFC208FADEFD0BE7" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-term Debt</link:label>
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    <link:label id="lab_us-gaap_DebtInstrumentFaceAmount_A8F60F75DCEAAA6E692008FADEFD9437_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentFaceAmount_A8F60F75DCEAAA6E692008FADEFD9437" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt instrument, face amount</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentFaceAmount_A8F60F75DCEAAA6E692008FADEFD9437_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentFaceAmount_A8F60F75DCEAAA6E692008FADEFD9437" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Face Amount</link:label>
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    <link:label id="lab_us-gaap_DeferredFinanceCostsNet_31CFCCC7BF8CD59D672B08FADEFD4830_label_en-US" xlink:label="lab_us-gaap_DeferredFinanceCostsNet_31CFCCC7BF8CD59D672B08FADEFD4830" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Issuance Costs, Net</link:label>
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    <link:label id="lab_us-gaap_DebtInstrumentUnamortizedPremium_D1F928F2D725A8994F8508FADEFDBF16_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentUnamortizedPremium_D1F928F2D725A8994F8508FADEFDBF16" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unamortized premium included in carrying value</link:label>
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    <link:label id="lab_ofc_LineofCreditFacilityMaturityDateExtensionNumberofExtensions_246A595DEF1A24DE12AC08FADEFD8C38_terseLabel_en-US" xlink:label="lab_ofc_LineofCreditFacilityMaturityDateExtensionNumberofExtensions_246A595DEF1A24DE12AC08FADEFD8C38" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of extensions</link:label>
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    <link:label id="lab_ofc_DebtInstrumentExtensionOptionTerm_94B3E4630C92D6EE5B7408FADEFDAA3F_documentation_en-US" xlink:label="lab_ofc_DebtInstrumentExtensionOptionTerm_94B3E4630C92D6EE5B7408FADEFDAA3F" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the period over which the debt may be extended at the option of the entity, subject to certain conditions.</link:label>
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    <link:label id="lab_us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis_ADE7B268E594D16032D108E2F9BF1FE1_label_en-US" xlink:label="lab_us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis_ADE7B268E594D16032D108E2F9BF1FE1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Bonus and Profit Sharing Arrangements, Individual Contracts, Type of Deferred Compensation [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis" xlink:label="loc_us-gaap_DeferredCompensationArrangementWithIndividualExcludingShareBasedPaymentsAndPostretirementBenefitsByTypeOfDeferredCompensationAxis_ADE7B268E594D16032D108E2F9BF1FE1" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DeferredBonusAndProfitSharingArrangementIndividualContractTypeOfDeferredCompensationDomain_330BE318831479165D0708E2F9BFE48A_label_en-US" xlink:label="lab_us-gaap_DeferredBonusAndProfitSharingArrangementIndividualContractTypeOfDeferredCompensationDomain_330BE318831479165D0708E2F9BFE48A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Bonus and Profit Sharing Arrangement, Individual Contract, Type of Deferred Compensation [Domain]</link:label>
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    <link:label id="lab_us-gaap_DeferredCompensationExcludingShareBasedPaymentsAndRetirementBenefitsMember_D7E877171CE3A2802B0F08E2F9BFAC0B_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredCompensationExcludingShareBasedPaymentsAndRetirementBenefitsMember_D7E877171CE3A2802B0F08E2F9BFAC0B" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred compensation plan</link:label>
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    <link:label id="lab_us-gaap_ManagementMember_8EACD41034A6707EE64B08E2F9C085DE_terseLabel_en-US" xlink:label="lab_us-gaap_ManagementMember_8EACD41034A6707EE64B08E2F9C085DE" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management</link:label>
    <link:label id="lab_us-gaap_ManagementMember_8EACD41034A6707EE64B08E2F9C085DE_label_en-US" xlink:label="lab_us-gaap_ManagementMember_8EACD41034A6707EE64B08E2F9C085DE" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_ManagementMember" xlink:label="loc_us-gaap_ManagementMember_8EACD41034A6707EE64B08E2F9C085DE" xlink:type="locator" />
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    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9DFAFD3702F8D133E2DE08E2F9C096F8_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9DFAFD3702F8D133E2DE08E2F9C096F8" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Assets and liabilities measured at fair value</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9DFAFD3702F8D133E2DE08E2F9C096F8" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9DFAFD3702F8D133E2DE08E2F9C096F8" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_9DFAFD3702F8D133E2DE08E2F9C096F8" xlink:type="arc" />
    <link:label id="lab_ofc_DeferredCompensationArrangementWithIndividualMaximumDeferrablePercentageOfCompensation_6E2032330BDF4E3A018408E2F9C0C38C_terseLabel_en-US" xlink:label="lab_ofc_DeferredCompensationArrangementWithIndividualMaximumDeferrablePercentageOfCompensation_6E2032330BDF4E3A018408E2F9C0C38C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum percentage of participants' compensation which is deferrable (as a percent)</link:label>
    <link:label id="lab_ofc_DeferredCompensationArrangementWithIndividualMaximumDeferrablePercentageOfCompensation_6E2032330BDF4E3A018408E2F9C0C38C_label_en-US" xlink:label="lab_ofc_DeferredCompensationArrangementWithIndividualMaximumDeferrablePercentageOfCompensation_6E2032330BDF4E3A018408E2F9C0C38C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Compensation Arrangement with Individual Maximum Deferrable Percentage of Compensation</link:label>
    <link:label id="lab_ofc_DeferredCompensationArrangementWithIndividualMaximumDeferrablePercentageOfCompensation_6E2032330BDF4E3A018408E2F9C0C38C_documentation_en-US" xlink:label="lab_ofc_DeferredCompensationArrangementWithIndividualMaximumDeferrablePercentageOfCompensation_6E2032330BDF4E3A018408E2F9C0C38C" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the maximum percentage of participants' compensation that is deferrable by participants under the deferred compensation plan.</link:label>
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    <link:label id="lab_us-gaap_DeferredCompensationPlanAssets_5A68AE605CC360DAA83A08E2F9C06111_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredCompensationPlanAssets_5A68AE605CC360DAA83A08E2F9C06111" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Marketable securities in deferred compensation plan</link:label>
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    <link:label id="lab_us-gaap_ScheduleOfDebtTableTextBlock_760BFA8448DF16EB3E96AB70FC1A0EF5_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDebtTableTextBlock_760BFA8448DF16EB3E96AB70FC1A0EF5" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of debt</link:label>
    <link:label id="lab_us-gaap_ScheduleOfDebtTableTextBlock_760BFA8448DF16EB3E96AB70FC1A0EF5_label_en-US" xlink:label="lab_us-gaap_ScheduleOfDebtTableTextBlock_760BFA8448DF16EB3E96AB70FC1A0EF5" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Debt [Table Text Block]</link:label>
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    <link:label id="lab_ofc_ScheduleOfFairValueOfDebtTableTextBlock_7A43EC5514F242DB1C21AB70FC1A8534_terseLabel_en-US" xlink:label="lab_ofc_ScheduleOfFairValueOfDebtTableTextBlock_7A43EC5514F242DB1C21AB70FC1A8534" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of the fair value of debt</link:label>
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    <link:label id="lab_ofc_ScheduleOfLimitedLiabilityCompanyLlcOrLimitedPartnershipLpManagingMemberOrGeneralPartnerOwnershipInterestTable_CCEE935D6A03A30DE52BAB70FD225C09_terseLabel_en-US" xlink:label="lab_ofc_ScheduleOfLimitedLiabilityCompanyLlcOrLimitedPartnershipLpManagingMemberOrGeneralPartnerOwnershipInterestTable_CCEE935D6A03A30DE52BAB70FD225C09" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Limited Liability Company LLC or Limited Partnership LP Managing Member or General Partner Ownership Interest [Table]</link:label>
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    <link:label id="lab_ofc_UnitsClassDomain_6B6399B8100E15A43D20AB70FD229E43_documentation_en-US" xlink:label="lab_ofc_UnitsClassDomain_6B6399B8100E15A43D20AB70FD229E43" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Type or class of preferred units or special units.</link:label>
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    <link:label id="lab_ofc_CommonUnitsMember_234B93570052E4E594E5AB70FD230888_documentation_en-US" xlink:label="lab_ofc_CommonUnitsMember_234B93570052E4E594E5AB70FD230888" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Common units representing ownership interest in the operating partnership.</link:label>
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    <link:label id="lab_ofc_OtherFixedRateDebtMember_086A1526F7D097A1D058AB70FBEFDFC0_terseLabel_en-US" xlink:label="lab_ofc_OtherFixedRateDebtMember_086A1526F7D097A1D058AB70FBEFDFC0" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other fixed-rate debt</link:label>
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    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_5D20DB5BF0053036628B080817CF23D5_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_5D20DB5BF0053036628B080817CF23D5" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net cash provided by operating activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_5D20DB5BF0053036628B080817CF23D5_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_5D20DB5BF0053036628B080817CF23D5" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Cash Provided by (Used in) Operating Activities</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_5D20DB5BF0053036628B080817CF23D5" xlink:type="locator" />
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    <link:label id="lab_us-gaap_NetCashProvidedByUsedInInvestingActivities_FB80656EC3E2023D8640080817CFE945_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInInvestingActivities_FB80656EC3E2023D8640080817CFE945" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net cash provided by investing activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInInvestingActivities_FB80656EC3E2023D8640080817CFE945_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInInvestingActivities_FB80656EC3E2023D8640080817CFE945" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Cash Provided by (Used in) Investing Activities</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_FB80656EC3E2023D8640080817CFE945" xlink:type="locator" />
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    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_7BB9E772FE8531740CAC0827CD9CDD01_terseLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_7BB9E772FE8531740CAC0827CD9CDD01" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net increase in cash and cash equivalents and restricted cash</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_7BB9E772FE8531740CAC0827CD9CDD01_label_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_7BB9E772FE8531740CAC0827CD9CDD01" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_7BB9E772FE8531740CAC0827CD9CDD01" xlink:type="locator" />
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    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_3AAFD8D6FD0E7C5BFA78080817CF0470_periodStartLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_3AAFD8D6FD0E7C5BFA78080817CF0470" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning of period</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_3AAFD8D6FD0E7C5BFA78080817CF0470_label_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_3AAFD8D6FD0E7C5BFA78080817CF0470" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_3AAFD8D6FD0E7C5BFA78080817CF0470" xlink:type="locator" />
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    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_DC95E1C882A2E9A27582080817CF0424_periodEndLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_DC95E1C882A2E9A27582080817CF0424" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">End of period</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_DC95E1C882A2E9A27582080817CF0424" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_DC95E1C882A2E9A27582080817CF0424" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_DC95E1C882A2E9A27582080817CF0424" xlink:type="arc" />
    <link:label id="lab_us-gaap_RealEstateAbstract_61D06881F98CF76A0D1D18BF988CEAF4_label_en-US" xlink:label="lab_us-gaap_RealEstateAbstract_61D06881F98CF76A0D1D18BF988CEAF4" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RealEstateAbstract" xlink:label="loc_us-gaap_RealEstateAbstract_61D06881F98CF76A0D1D18BF988CEAF4" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealEstateAbstract_61D06881F98CF76A0D1D18BF988CEAF4" xlink:to="lab_us-gaap_RealEstateAbstract_61D06881F98CF76A0D1D18BF988CEAF4" xlink:type="arc" />
    <link:label id="lab_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_5648945AE464BA1FBBAD18BF988C5651_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_5648945AE464BA1FBBAD18BF988C5651" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Table]</link:label>
    <link:label id="lab_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_5648945AE464BA1FBBAD18BF988C5651_label_en-US" xlink:label="lab_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_5648945AE464BA1FBBAD18BF988C5651" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Groups, Including Discontinued Operations [Table]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable" xlink:label="loc_us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsTable_5648945AE464BA1FBBAD18BF988C5651" xlink:type="locator" />
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    <link:label id="lab_ofc_RealEstatePropertyDisposalAxis_DB0C049CE8B88CBADCD318BF988C4F29_terseLabel_en-US" xlink:label="lab_ofc_RealEstatePropertyDisposalAxis_DB0C049CE8B88CBADCD318BF988C4F29" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Real Estate Property Disposal [Axis]</link:label>
    <link:label id="lab_ofc_RealEstatePropertyDisposalAxis_DB0C049CE8B88CBADCD318BF988C4F29_label_en-US" xlink:label="lab_ofc_RealEstatePropertyDisposalAxis_DB0C049CE8B88CBADCD318BF988C4F29" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate Property Disposal [Axis]</link:label>
    <link:label id="lab_ofc_RealEstatePropertyDisposalAxis_DB0C049CE8B88CBADCD318BF988C4F29_documentation_en-US" xlink:label="lab_ofc_RealEstatePropertyDisposalAxis_DB0C049CE8B88CBADCD318BF988C4F29" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents information regarding disposal of operating properties aggregated according to factors such as location, number of properties and acquisition date.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_RealEstatePropertyDisposalAxis" xlink:label="loc_ofc_RealEstatePropertyDisposalAxis_DB0C049CE8B88CBADCD318BF988C4F29" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_RealEstatePropertyDisposalAxis_DB0C049CE8B88CBADCD318BF988C4F29" xlink:to="lab_ofc_RealEstatePropertyDisposalAxis_DB0C049CE8B88CBADCD318BF988C4F29" xlink:type="arc" />
    <link:label id="lab_ofc_RealEstatePropertyDisposalDomain_6DD8FACEDB195FB9B21B18BF988CF62E_terseLabel_en-US" xlink:label="lab_ofc_RealEstatePropertyDisposalDomain_6DD8FACEDB195FB9B21B18BF988CF62E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Real Estate Property Disposal [Domain]</link:label>
    <link:label id="lab_ofc_RealEstatePropertyDisposalDomain_6DD8FACEDB195FB9B21B18BF988CF62E_label_en-US" xlink:label="lab_ofc_RealEstatePropertyDisposalDomain_6DD8FACEDB195FB9B21B18BF988CF62E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate Property Disposal [Domain]</link:label>
    <link:label id="lab_ofc_RealEstatePropertyDisposalDomain_6DD8FACEDB195FB9B21B18BF988CF62E_documentation_en-US" xlink:label="lab_ofc_RealEstatePropertyDisposalDomain_6DD8FACEDB195FB9B21B18BF988CF62E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents operating property disposal.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_RealEstatePropertyDisposalDomain" xlink:label="loc_ofc_RealEstatePropertyDisposalDomain_6DD8FACEDB195FB9B21B18BF988CF62E" xlink:type="locator" />
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    <link:label id="lab_ofc_Number11751MeadowvilleLaneMember_364E56DF07BB11E7217418BF988CAABD_terseLabel_en-US" xlink:label="lab_ofc_Number11751MeadowvilleLaneMember_364E56DF07BB11E7217418BF988CAABD" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">11751 Meadowville Lane</link:label>
    <link:label id="lab_ofc_Number11751MeadowvilleLaneMember_364E56DF07BB11E7217418BF988CAABD_label_en-US" xlink:label="lab_ofc_Number11751MeadowvilleLaneMember_364E56DF07BB11E7217418BF988CAABD" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number 11751 Meadowville Lane [Member]</link:label>
    <link:label id="lab_ofc_Number11751MeadowvilleLaneMember_364E56DF07BB11E7217418BF988CAABD_documentation_en-US" xlink:label="lab_ofc_Number11751MeadowvilleLaneMember_364E56DF07BB11E7217418BF988CAABD" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the information pertaining to 11751 Meadowville Lane, an office property owned by the entity.</link:label>
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    <link:label id="lab_ofc_RealEstatePropertyClassificationAxis_B93A21BD0DB5458ED07F18BF988CB575_terseLabel_en-US" xlink:label="lab_ofc_RealEstatePropertyClassificationAxis_B93A21BD0DB5458ED07F18BF988CB575" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Real Estate Property Classification [Axis]</link:label>
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    <link:label id="lab_ofc_RealEstatePropertyClassificationAxis_B93A21BD0DB5458ED07F18BF988CB575_documentation_en-US" xlink:label="lab_ofc_RealEstatePropertyClassificationAxis_B93A21BD0DB5458ED07F18BF988CB575" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents information regarding classification of real estate properties.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_RealEstatePropertyClassificationAxis" xlink:label="loc_ofc_RealEstatePropertyClassificationAxis_B93A21BD0DB5458ED07F18BF988CB575" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_RealEstatePropertyClassificationAxis_B93A21BD0DB5458ED07F18BF988CB575" xlink:to="lab_ofc_RealEstatePropertyClassificationAxis_B93A21BD0DB5458ED07F18BF988CB575" xlink:type="arc" />
    <link:label id="lab_ofc_RealEstatePropertyClassificationDomain_C62F95760E011273C26918BF988C9F94_terseLabel_en-US" xlink:label="lab_ofc_RealEstatePropertyClassificationDomain_C62F95760E011273C26918BF988C9F94" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Real Estate Property Classification [Domain]</link:label>
    <link:label id="lab_ofc_RealEstatePropertyClassificationDomain_C62F95760E011273C26918BF988C9F94_label_en-US" xlink:label="lab_ofc_RealEstatePropertyClassificationDomain_C62F95760E011273C26918BF988C9F94" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate Property Classification [Domain]</link:label>
    <link:label id="lab_ofc_RealEstatePropertyClassificationDomain_C62F95760E011273C26918BF988C9F94_documentation_en-US" xlink:label="lab_ofc_RealEstatePropertyClassificationDomain_C62F95760E011273C26918BF988C9F94" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents classification of real estate properties.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_RealEstatePropertyClassificationDomain" xlink:label="loc_ofc_RealEstatePropertyClassificationDomain_C62F95760E011273C26918BF988C9F94" xlink:type="locator" />
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    <link:label id="lab_us-gaap_StatementBusinessSegmentsAxis_25645258706C20EEC53118BF988C8B77_terseLabel_en-US" xlink:label="lab_us-gaap_StatementBusinessSegmentsAxis_25645258706C20EEC53118BF988C8B77" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segments [Axis]</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis" xlink:label="loc_us-gaap_StatementBusinessSegmentsAxis_25645258706C20EEC53118BF988C8B77" xlink:type="locator" />
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    <link:label id="lab_ofc_RealEstateJointVenturesTable_E30C9942A1E762A334F4AB70FC6C9905_label_en-US" xlink:label="lab_ofc_RealEstateJointVenturesTable_E30C9942A1E762A334F4AB70FC6C9905" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate, Joint Ventures [Table]</link:label>
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    <link:label id="lab_ofc_OperatingOfficePropertiesMember_240A4CB3D181B1B18FD3AB70FC6CCF36_terseLabel_en-US" xlink:label="lab_ofc_OperatingOfficePropertiesMember_240A4CB3D181B1B18FD3AB70FC6CCF36" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Operating office properties</link:label>
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    <link:label id="lab_ofc_OperatingOfficePropertiesMember_240A4CB3D181B1B18FD3AB70FC6CCF36_documentation_en-US" xlink:label="lab_ofc_OperatingOfficePropertiesMember_240A4CB3D181B1B18FD3AB70FC6CCF36" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents operating office properties owned by the entity.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_OperatingOfficePropertiesMember" xlink:label="loc_ofc_OperatingOfficePropertiesMember_240A4CB3D181B1B18FD3AB70FC6CCF36" xlink:type="locator" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis" xlink:label="loc_us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis_9A5E52FD6174672F9073AB70FC7121E9" xlink:type="locator" />
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    <link:label id="lab_us-gaap_ClassificationOfVariableInterestEntityDomain_6FD6842A84206EAA6EF9AB70FC727F88_label_en-US" xlink:label="lab_us-gaap_ClassificationOfVariableInterestEntityDomain_6FD6842A84206EAA6EF9AB70FC727F88" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Variable Interest Entity, Classification [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_ClassificationOfVariableInterestEntityDomain" xlink:label="loc_us-gaap_ClassificationOfVariableInterestEntityDomain_6FD6842A84206EAA6EF9AB70FC727F88" xlink:type="locator" />
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    <link:label id="lab_us-gaap_VariableInterestEntityPrimaryBeneficiaryAggregatedDisclosureMember_D8685EA613CAFE4A1E09AB70FC722FB6_terseLabel_en-US" xlink:label="lab_us-gaap_VariableInterestEntityPrimaryBeneficiaryAggregatedDisclosureMember_D8685EA613CAFE4A1E09AB70FC722FB6" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Consolidated real estate joint ventures</link:label>
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    <link:label id="lab_ofc_MSquareAssociatesLlcMember_452BAA58C71273647840AB70FC724042_terseLabel_en-US" xlink:label="lab_ofc_MSquareAssociatesLlcMember_452BAA58C71273647840AB70FC724042" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">M Square Associates, LLC</link:label>
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    <link:label id="lab_ofc_StevensInvestorsLLCMember_D3D61906C62FAA61D295AB70FC72078A_terseLabel_en-US" xlink:label="lab_ofc_StevensInvestorsLLCMember_D3D61906C62FAA61D295AB70FC72078A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stevens Investors, LLC</link:label>
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    <link:label id="lab_ofc_BusinessDevelopmentExpensesAndLandCarryCosts_9C45D56F8F0668E917D1F4A45E3CCF46_negatedLabel_en-US" xlink:label="lab_ofc_BusinessDevelopmentExpensesAndLandCarryCosts_9C45D56F8F0668E917D1F4A45E3CCF46" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Business development expenses and land carry costs</link:label>
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    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_BusinessDevelopmentExpensesAndLandCarryCosts_9C45D56F8F0668E917D1F4A45E3CCF46" xlink:to="lab_ofc_BusinessDevelopmentExpensesAndLandCarryCosts_9C45D56F8F0668E917D1F4A45E3CCF46" xlink:type="arc" />
    <link:label id="lab_us-gaap_InterestAndDebtExpense_0DBACCA7F4DE9C74BC54F4A45E3CD11B_negatedLabel_en-US" xlink:label="lab_us-gaap_InterestAndDebtExpense_0DBACCA7F4DE9C74BC54F4A45E3CD11B" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_us-gaap_InterestAndDebtExpense_0DBACCA7F4DE9C74BC54F4A45E3CD11B_label_en-US" xlink:label="lab_us-gaap_InterestAndDebtExpense_0DBACCA7F4DE9C74BC54F4A45E3CD11B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest and Debt Expense</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_InterestAndDebtExpense" xlink:label="loc_us-gaap_InterestAndDebtExpense_0DBACCA7F4DE9C74BC54F4A45E3CD11B" xlink:type="locator" />
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    <link:label id="lab_ofc_UnconsolidatedJointVentureNetOperatingIncomeAllocabletoParent_5AC9528C6DA15C07C2F3F4A45E3C847E_negatedTerseLabel_en-US" xlink:label="lab_ofc_UnconsolidatedJointVentureNetOperatingIncomeAllocabletoParent_5AC9528C6DA15C07C2F3F4A45E3C847E" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Less: UJV NOI allocable to COPT included in equity in income of unconsolidated entities</link:label>
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    <link:label id="lab_ofc_ProjectsInDevelopmentOrHeldForFutureDevelopmentMember_D44FBA2900E7124AB53FAB70FCB72C05_terseLabel_en-US" xlink:label="lab_ofc_ProjectsInDevelopmentOrHeldForFutureDevelopmentMember_D44FBA2900E7124AB53FAB70FCB72C05" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Projects in development or held for future development</link:label>
    <link:label id="lab_ofc_ProjectsInDevelopmentOrHeldForFutureDevelopmentMember_D44FBA2900E7124AB53FAB70FCB72C05_label_en-US" xlink:label="lab_ofc_ProjectsInDevelopmentOrHeldForFutureDevelopmentMember_D44FBA2900E7124AB53FAB70FCB72C05" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Projects in Development or held-for-future Development [Member]</link:label>
    <link:label id="lab_ofc_ProjectsInDevelopmentOrHeldForFutureDevelopmentMember_D44FBA2900E7124AB53FAB70FCB72C05_documentation_en-US" xlink:label="lab_ofc_ProjectsInDevelopmentOrHeldForFutureDevelopmentMember_D44FBA2900E7124AB53FAB70FCB72C05" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents projects in development or held for future development.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_ProjectsInDevelopmentOrHeldForFutureDevelopmentMember" xlink:label="loc_ofc_ProjectsInDevelopmentOrHeldForFutureDevelopmentMember_D44FBA2900E7124AB53FAB70FCB72C05" xlink:type="locator" />
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    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentByTypeAxis_D638B152083075C67C4BAB70FCB75BEA_terseLabel_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentByTypeAxis_D638B152083075C67C4BAB70FCB75BEA" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Property, Plant and Equipment by Type [Axis]</link:label>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentByTypeAxis_D638B152083075C67C4BAB70FCB75BEA_label_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentByTypeAxis_D638B152083075C67C4BAB70FCB75BEA" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property, Plant and Equipment, Type [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_D638B152083075C67C4BAB70FCB75BEA" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentByTypeAxis_D638B152083075C67C4BAB70FCB75BEA" xlink:to="lab_us-gaap_PropertyPlantAndEquipmentByTypeAxis_D638B152083075C67C4BAB70FCB75BEA" xlink:type="arc" />
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain_2DE33E7AC0748D060CC2AB70FCB7B442_terseLabel_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain_2DE33E7AC0748D060CC2AB70FCB7B442" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Property, Plant and Equipment, Type [Domain]</link:label>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain_2DE33E7AC0748D060CC2AB70FCB7B442_label_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain_2DE33E7AC0748D060CC2AB70FCB7B442" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property, Plant and Equipment, Type [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_2DE33E7AC0748D060CC2AB70FCB7B442" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentTypeDomain_2DE33E7AC0748D060CC2AB70FCB7B442" xlink:to="lab_us-gaap_PropertyPlantAndEquipmentTypeDomain_2DE33E7AC0748D060CC2AB70FCB7B442" xlink:type="arc" />
    <link:label id="lab_ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember_CE47ACE0D54E30CF5F01AB70FCB76BD6_terseLabel_en-US" xlink:label="lab_ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember_CE47ACE0D54E30CF5F01AB70FCB76BD6" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Land in development or held for future development</link:label>
    <link:label id="lab_ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember_CE47ACE0D54E30CF5F01AB70FCB76BD6_label_en-US" xlink:label="lab_ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember_CE47ACE0D54E30CF5F01AB70FCB76BD6" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Land in Development or held-for-future Development [Member]</link:label>
    <link:label id="lab_ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember_CE47ACE0D54E30CF5F01AB70FCB76BD6_documentation_en-US" xlink:label="lab_ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember_CE47ACE0D54E30CF5F01AB70FCB76BD6" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents land in development or held for future development.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember" xlink:label="loc_ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember_CE47ACE0D54E30CF5F01AB70FCB76BD6" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember_CE47ACE0D54E30CF5F01AB70FCB76BD6" xlink:to="lab_ofc_LandInDevelopmentOrHeldForFutureDevelopmentMember_CE47ACE0D54E30CF5F01AB70FCB76BD6" xlink:type="arc" />
    <link:label id="lab_us-gaap_ConstructionInProgressMember_DC150B5B7A9CCDBD4EBDAB70FCB7490A_terseLabel_en-US" xlink:label="lab_us-gaap_ConstructionInProgressMember_DC150B5B7A9CCDBD4EBDAB70FCB7490A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Construction in progress, excluding land</link:label>
    <link:label id="lab_us-gaap_ConstructionInProgressMember_DC150B5B7A9CCDBD4EBDAB70FCB7490A_label_en-US" xlink:label="lab_us-gaap_ConstructionInProgressMember_DC150B5B7A9CCDBD4EBDAB70FCB7490A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Construction in Progress [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_ConstructionInProgressMember" xlink:label="loc_us-gaap_ConstructionInProgressMember_DC150B5B7A9CCDBD4EBDAB70FCB7490A" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConstructionInProgressMember_DC150B5B7A9CCDBD4EBDAB70FCB7490A" xlink:to="lab_us-gaap_ConstructionInProgressMember_DC150B5B7A9CCDBD4EBDAB70FCB7490A" xlink:type="arc" />
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentLineItems_B0B1D1AA9EB4EBF17206AB70FCB7185F_terseLabel_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentLineItems_B0B1D1AA9EB4EBF17206AB70FCB7185F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Properties</link:label>
    <link:label id="lab_us-gaap_PropertyPlantAndEquipmentLineItems_B0B1D1AA9EB4EBF17206AB70FCB7185F_label_en-US" xlink:label="lab_us-gaap_PropertyPlantAndEquipmentLineItems_B0B1D1AA9EB4EBF17206AB70FCB7185F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property, Plant and Equipment [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_PropertyPlantAndEquipmentLineItems" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentLineItems_B0B1D1AA9EB4EBF17206AB70FCB7185F" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentLineItems_B0B1D1AA9EB4EBF17206AB70FCB7185F" xlink:to="lab_us-gaap_PropertyPlantAndEquipmentLineItems_B0B1D1AA9EB4EBF17206AB70FCB7185F" xlink:type="arc" />
    <link:label id="lab_us-gaap_DevelopmentInProcess_07CFB25C31E5F761D7A9AB70FCB7B205_terseLabel_en-US" xlink:label="lab_us-gaap_DevelopmentInProcess_07CFB25C31E5F761D7A9AB70FCB7B205" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Projects in development or held for future development</link:label>
    <link:label id="lab_us-gaap_DevelopmentInProcess_07CFB25C31E5F761D7A9AB70FCB7B205_label_en-US" xlink:label="lab_us-gaap_DevelopmentInProcess_07CFB25C31E5F761D7A9AB70FCB7B205" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Development in Process</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DevelopmentInProcess" xlink:label="loc_us-gaap_DevelopmentInProcess_07CFB25C31E5F761D7A9AB70FCB7B205" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DevelopmentInProcess_07CFB25C31E5F761D7A9AB70FCB7B205" xlink:to="lab_us-gaap_DevelopmentInProcess_07CFB25C31E5F761D7A9AB70FCB7B205" xlink:type="arc" />
    <link:label id="lab_us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_A8C7F91C326C77758A7CF4A45E263A6F_terseLabel_en-US" xlink:label="lab_us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_A8C7F91C326C77758A7CF4A45E263A6F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share-Based Compensation</link:label>
    <link:label id="lab_us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_A8C7F91C326C77758A7CF4A45E263A6F_label_en-US" xlink:label="lab_us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_A8C7F91C326C77758A7CF4A45E263A6F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of Compensation Related Costs, Share-based Payments [Text Block]</link:label>
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    <link:label id="lab_us-gaap_StatementOfCashFlowsAbstract_BC2A68D30B471DAB0F0208FAE064CE56_label_en-US" xlink:label="lab_us-gaap_StatementOfCashFlowsAbstract_BC2A68D30B471DAB0F0208FAE064CE56" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Cash Flows [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_StatementOfCashFlowsAbstract" xlink:label="loc_us-gaap_StatementOfCashFlowsAbstract_BC2A68D30B471DAB0F0208FAE064CE56" xlink:type="locator" />
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    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_C81268F05FB939050BF508FAE0641E6C_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_C81268F05FB939050BF508FAE0641E6C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash flows from operating activities</link:label>
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    <link:label id="lab_ofc_RevenuesFromRealEstateOperationsReceived_09FEDB25EE9348474B6E08FAE0648DBD_terseLabel_en-US" xlink:label="lab_ofc_RevenuesFromRealEstateOperationsReceived_09FEDB25EE9348474B6E08FAE0648DBD" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revenues from real estate operations received</link:label>
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    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_RevenuesFromRealEstateOperationsReceived_09FEDB25EE9348474B6E08FAE0648DBD" xlink:to="lab_ofc_RevenuesFromRealEstateOperationsReceived_09FEDB25EE9348474B6E08FAE0648DBD" xlink:type="arc" />
    <link:label id="lab_ofc_ConstructionContractAndOtherServiceRevenuesReceived_8C27B438167D1DEC37AB08FAE06411A9_terseLabel_en-US" xlink:label="lab_ofc_ConstructionContractAndOtherServiceRevenuesReceived_8C27B438167D1DEC37AB08FAE06411A9" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Construction contract and other service revenues received</link:label>
    <link:label id="lab_ofc_ConstructionContractAndOtherServiceRevenuesReceived_8C27B438167D1DEC37AB08FAE06411A9_label_en-US" xlink:label="lab_ofc_ConstructionContractAndOtherServiceRevenuesReceived_8C27B438167D1DEC37AB08FAE06411A9" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Construction Contract and Other Service Revenues Received</link:label>
    <link:label id="lab_ofc_ConstructionContractAndOtherServiceRevenuesReceived_8C27B438167D1DEC37AB08FAE06411A9_documentation_en-US" xlink:label="lab_ofc_ConstructionContractAndOtherServiceRevenuesReceived_8C27B438167D1DEC37AB08FAE06411A9" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cash received for building and real estate development, which may include improvements (such as drainage, utilities, grading and subdividing) to a parcel of land, and general contracting services and from the sale of other goods or rendering of other services.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_ConstructionContractAndOtherServiceRevenuesReceived" xlink:label="loc_ofc_ConstructionContractAndOtherServiceRevenuesReceived_8C27B438167D1DEC37AB08FAE06411A9" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_ConstructionContractAndOtherServiceRevenuesReceived_8C27B438167D1DEC37AB08FAE06411A9" xlink:to="lab_ofc_ConstructionContractAndOtherServiceRevenuesReceived_8C27B438167D1DEC37AB08FAE06411A9" xlink:type="arc" />
    <link:label id="lab_ofc_PropertyOperatingExpensesPaid_3917BC8772E1819F7BF608FAE0640F35_negatedLabel_en-US" xlink:label="lab_ofc_PropertyOperatingExpensesPaid_3917BC8772E1819F7BF608FAE0640F35" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Property operating expenses paid</link:label>
    <link:label id="lab_ofc_PropertyOperatingExpensesPaid_3917BC8772E1819F7BF608FAE0640F35_label_en-US" xlink:label="lab_ofc_PropertyOperatingExpensesPaid_3917BC8772E1819F7BF608FAE0640F35" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property Operating Expenses Paid</link:label>
    <link:label id="lab_ofc_PropertyOperatingExpensesPaid_3917BC8772E1819F7BF608FAE0640F35_documentation_en-US" xlink:label="lab_ofc_PropertyOperatingExpensesPaid_3917BC8772E1819F7BF608FAE0640F35" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">This element represents the amount of cash paid during the current period for costs that are directly related to generation of revenues from leased and rented properties or equipment.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_PropertyOperatingExpensesPaid" xlink:label="loc_ofc_PropertyOperatingExpensesPaid_3917BC8772E1819F7BF608FAE0640F35" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_PropertyOperatingExpensesPaid_3917BC8772E1819F7BF608FAE0640F35" xlink:to="lab_ofc_PropertyOperatingExpensesPaid_3917BC8772E1819F7BF608FAE0640F35" xlink:type="arc" />
    <link:label id="lab_ofc_ConstructionContractAndOtherServiceExpensesPaid_9BFE719E71136D5811F708FAE064446A_negatedLabel_en-US" xlink:label="lab_ofc_ConstructionContractAndOtherServiceExpensesPaid_9BFE719E71136D5811F708FAE064446A" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Construction contract and other service expenses paid</link:label>
    <link:label id="lab_ofc_ConstructionContractAndOtherServiceExpensesPaid_9BFE719E71136D5811F708FAE064446A_label_en-US" xlink:label="lab_ofc_ConstructionContractAndOtherServiceExpensesPaid_9BFE719E71136D5811F708FAE064446A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Construction Contract and Other Service Expenses Paid</link:label>
    <link:label id="lab_ofc_ConstructionContractAndOtherServiceExpensesPaid_9BFE719E71136D5811F708FAE064446A_documentation_en-US" xlink:label="lab_ofc_ConstructionContractAndOtherServiceExpensesPaid_9BFE719E71136D5811F708FAE064446A" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cash payments for costs related to construction and development services and other service operations during the current period.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_ConstructionContractAndOtherServiceExpensesPaid" xlink:label="loc_ofc_ConstructionContractAndOtherServiceExpensesPaid_9BFE719E71136D5811F708FAE064446A" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_ConstructionContractAndOtherServiceExpensesPaid_9BFE719E71136D5811F708FAE064446A" xlink:to="lab_ofc_ConstructionContractAndOtherServiceExpensesPaid_9BFE719E71136D5811F708FAE064446A" xlink:type="arc" />
    <link:label id="lab_ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid_E6B92E34E27B6CC221FE08FAE064B9B8_negatedLabel_en-US" xlink:label="lab_ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid_E6B92E34E27B6CC221FE08FAE064B9B8" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">General, administrative, leasing, business development and land carry costs paid</link:label>
    <link:label id="lab_ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid_E6B92E34E27B6CC221FE08FAE064B9B8_label_en-US" xlink:label="lab_ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid_E6B92E34E27B6CC221FE08FAE064B9B8" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">General and Administrative, Leasing, Business Development and Land Carry Paid</link:label>
    <link:label id="lab_ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid_E6B92E34E27B6CC221FE08FAE064B9B8_documentation_en-US" xlink:label="lab_ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid_E6B92E34E27B6CC221FE08FAE064B9B8" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cash payments for aggregate total costs related to selling a firm's product and services, all other general and administrative expenses, business development and land carry costs in connection with properties not in operations.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid" xlink:label="loc_ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid_E6B92E34E27B6CC221FE08FAE064B9B8" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid_E6B92E34E27B6CC221FE08FAE064B9B8" xlink:to="lab_ofc_GeneralandAdministrativeLeasingBusinessDevelopmentandLandCarryPaid_E6B92E34E27B6CC221FE08FAE064B9B8" xlink:type="arc" />
    <link:label id="lab_us-gaap_InterestPaidNet_9999B1FCB9BFD339FB8A08FAE0641E94_negatedLabel_en-US" xlink:label="lab_us-gaap_InterestPaidNet_9999B1FCB9BFD339FB8A08FAE0641E94" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Interest expense paid</link:label>
    <link:label id="lab_us-gaap_InterestPaidNet_9999B1FCB9BFD339FB8A08FAE0641E94_label_en-US" xlink:label="lab_us-gaap_InterestPaidNet_9999B1FCB9BFD339FB8A08FAE0641E94" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Paid, Net</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_InterestPaidNet" xlink:label="loc_us-gaap_InterestPaidNet_9999B1FCB9BFD339FB8A08FAE0641E94" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestPaidNet_9999B1FCB9BFD339FB8A08FAE0641E94" xlink:to="lab_us-gaap_InterestPaidNet_9999B1FCB9BFD339FB8A08FAE0641E94" xlink:type="arc" />
    <link:label id="lab_ofc_PaymentsofLeaseIncentives_BD5368E65BE3C9088A8F08FAE064DDEB_negatedTerseLabel_en-US" xlink:label="lab_ofc_PaymentsofLeaseIncentives_BD5368E65BE3C9088A8F08FAE064DDEB" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Lease incentives paid</link:label>
    <link:label id="lab_ofc_PaymentsofLeaseIncentives_BD5368E65BE3C9088A8F08FAE064DDEB_label_en-US" xlink:label="lab_ofc_PaymentsofLeaseIncentives_BD5368E65BE3C9088A8F08FAE064DDEB" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments of Lease Incentives</link:label>
    <link:label id="lab_ofc_PaymentsofLeaseIncentives_BD5368E65BE3C9088A8F08FAE064DDEB_documentation_en-US" xlink:label="lab_ofc_PaymentsofLeaseIncentives_BD5368E65BE3C9088A8F08FAE064DDEB" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Payments of Lease Incentives</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_PaymentsofLeaseIncentives" xlink:label="loc_ofc_PaymentsofLeaseIncentives_BD5368E65BE3C9088A8F08FAE064DDEB" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_PaymentsofLeaseIncentives_BD5368E65BE3C9088A8F08FAE064DDEB" xlink:to="lab_ofc_PaymentsofLeaseIncentives_BD5368E65BE3C9088A8F08FAE064DDEB" xlink:type="arc" />
    <link:label id="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement_F094F9168C3D20EBDBB108FAE0648B5D_terseLabel_en-US" xlink:label="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement_F094F9168C3D20EBDBB108FAE0648B5D" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement_F094F9168C3D20EBDBB108FAE0648B5D_label_en-US" xlink:label="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement_F094F9168C3D20EBDBB108FAE0648B5D" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Operating Activities, Cash Flow Statement</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_OtherOperatingActivitiesCashFlowStatement" xlink:label="loc_us-gaap_OtherOperatingActivitiesCashFlowStatement_F094F9168C3D20EBDBB108FAE0648B5D" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherOperatingActivitiesCashFlowStatement_F094F9168C3D20EBDBB108FAE0648B5D" xlink:to="lab_us-gaap_OtherOperatingActivitiesCashFlowStatement_F094F9168C3D20EBDBB108FAE0648B5D" xlink:type="arc" />
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_A818CBFE05693C97662608FAE0641DFF_totalLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_A818CBFE05693C97662608FAE0641DFF" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net cash provided by operating activities</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_A818CBFE05693C97662608FAE0641DFF" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_A818CBFE05693C97662608FAE0641DFF" xlink:to="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_A818CBFE05693C97662608FAE0641DFF" xlink:type="arc" />
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_0B0BAC777402156C70C708FAE0648093_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_0B0BAC777402156C70C708FAE0648093" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash flows from investing activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_0B0BAC777402156C70C708FAE0648093_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_0B0BAC777402156C70C708FAE0648093" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Cash Provided by (Used in) Investing Activities [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_0B0BAC777402156C70C708FAE0648093" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_0B0BAC777402156C70C708FAE0648093" xlink:to="lab_us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_0B0BAC777402156C70C708FAE0648093" xlink:type="arc" />
    <link:label id="lab_us-gaap_PaymentsToDevelopRealEstateAssets_F73E7759B7B02E3324A008FAE064A905_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsToDevelopRealEstateAssets_F73E7759B7B02E3324A008FAE064A905" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Construction, development and redevelopment</link:label>
    <link:label id="lab_us-gaap_PaymentsToDevelopRealEstateAssets_F73E7759B7B02E3324A008FAE064A905_label_en-US" xlink:label="lab_us-gaap_PaymentsToDevelopRealEstateAssets_F73E7759B7B02E3324A008FAE064A905" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments to Develop Real Estate Assets</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_PaymentsToDevelopRealEstateAssets" xlink:label="loc_us-gaap_PaymentsToDevelopRealEstateAssets_F73E7759B7B02E3324A008FAE064A905" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsToDevelopRealEstateAssets_F73E7759B7B02E3324A008FAE064A905" xlink:to="lab_us-gaap_PaymentsToDevelopRealEstateAssets_F73E7759B7B02E3324A008FAE064A905" xlink:type="arc" />
    <link:label id="lab_us-gaap_PaymentsForTenantImprovements_2634EFC2F44ADD295A3408FAE064FF50_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForTenantImprovements_2634EFC2F44ADD295A3408FAE064FF50" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Tenant improvements on operating properties</link:label>
    <link:label id="lab_us-gaap_PaymentsForTenantImprovements_2634EFC2F44ADD295A3408FAE064FF50_label_en-US" xlink:label="lab_us-gaap_PaymentsForTenantImprovements_2634EFC2F44ADD295A3408FAE064FF50" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for Tenant Improvements</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_PaymentsForTenantImprovements" xlink:label="loc_us-gaap_PaymentsForTenantImprovements_2634EFC2F44ADD295A3408FAE064FF50" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForTenantImprovements_2634EFC2F44ADD295A3408FAE064FF50" xlink:to="lab_us-gaap_PaymentsForTenantImprovements_2634EFC2F44ADD295A3408FAE064FF50" xlink:type="arc" />
    <link:label id="lab_us-gaap_PaymentsForCapitalImprovements_77A5AE2A78F7856458C108FAE0645BCA_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsForCapitalImprovements_77A5AE2A78F7856458C108FAE0645BCA" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Other capital improvements on operating properties</link:label>
    <link:label id="lab_us-gaap_PaymentsForCapitalImprovements_77A5AE2A78F7856458C108FAE0645BCA_label_en-US" xlink:label="lab_us-gaap_PaymentsForCapitalImprovements_77A5AE2A78F7856458C108FAE0645BCA" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for Capital Improvements</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_PaymentsForCapitalImprovements" xlink:label="loc_us-gaap_PaymentsForCapitalImprovements_77A5AE2A78F7856458C108FAE0645BCA" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForCapitalImprovements_77A5AE2A78F7856458C108FAE0645BCA" xlink:to="lab_us-gaap_PaymentsForCapitalImprovements_77A5AE2A78F7856458C108FAE0645BCA" xlink:type="arc" />
    <link:label id="lab_us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment_826A6E3CD2AC8B3DD81E08FAE06417D3_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment_826A6E3CD2AC8B3DD81E08FAE06417D3" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from dispositions of properties</link:label>
    <link:label id="lab_us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment_826A6E3CD2AC8B3DD81E08FAE06417D3_label_en-US" xlink:label="lab_us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment_826A6E3CD2AC8B3DD81E08FAE06417D3" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Sale of Real Estate Held-for-investment</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment" xlink:label="loc_us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment_826A6E3CD2AC8B3DD81E08FAE06417D3" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment_826A6E3CD2AC8B3DD81E08FAE06417D3" xlink:to="lab_us-gaap_ProceedsFromSaleOfRealEstateHeldforinvestment_826A6E3CD2AC8B3DD81E08FAE06417D3" xlink:type="arc" />
    <link:label id="lab_us-gaap_PaymentsForLeasingCosts_AFBEDEF45982A94D146008FAE0649926_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsForLeasingCosts_AFBEDEF45982A94D146008FAE0649926" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Leasing costs paid</link:label>
    <link:label id="lab_us-gaap_PaymentsForLeasingCosts_AFBEDEF45982A94D146008FAE0649926_label_en-US" xlink:label="lab_us-gaap_PaymentsForLeasingCosts_AFBEDEF45982A94D146008FAE0649926" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for Leasing Costs</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_PaymentsForLeasingCosts" xlink:label="loc_us-gaap_PaymentsForLeasingCosts_AFBEDEF45982A94D146008FAE0649926" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForLeasingCosts_AFBEDEF45982A94D146008FAE0649926" xlink:to="lab_us-gaap_PaymentsForLeasingCosts_AFBEDEF45982A94D146008FAE0649926" xlink:type="arc" />
    <link:label id="lab_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_FC2C89C37393674DF5C208FAE064DDC9_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_FC2C89C37393674DF5C208FAE064DDC9" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
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    <link:label id="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_8EE917D1DF1354C1BF8008FAE0641A7F_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_8EE917D1DF1354C1BF8008FAE0641A7F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_8EE917D1DF1354C1BF8008FAE0641A7F_label_en-US" xlink:label="lab_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_8EE917D1DF1354C1BF8008FAE0641A7F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from (Payments for) Other Financing Activities</link:label>
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    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities_1286BB990806B1CDF3D408FAE064A423_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities_1286BB990806B1CDF3D408FAE064A423" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Cash Provided by (Used in) Financing Activities</link:label>
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    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_F7DD2E6F4DF1753D642208FAE064C214_totalLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_F7DD2E6F4DF1753D642208FAE064C214" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net (decrease) increase in cash and cash equivalents and restricted cash</link:label>
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    <link:label id="lab_us-gaap_CashAndCashEquivalentsAtCarryingValueAbstract_E2A1B4F5A774FCDD71B008FAE06401BA_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValueAbstract_E2A1B4F5A774FCDD71B008FAE06401BA" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents and restricted cash</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsAtCarryingValueAbstract_E2A1B4F5A774FCDD71B008FAE06401BA_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValueAbstract_E2A1B4F5A774FCDD71B008FAE06401BA" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents, at Carrying Value [Abstract]</link:label>
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    <link:label id="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_DBD60F9C15D5A10716AB08FAE0640FCD_terseLabel_en-US" xlink:label="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_DBD60F9C15D5A10716AB08FAE0640FCD" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reconciliation of net income to net cash provided by operating activities:</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:label="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_DBD60F9C15D5A10716AB08FAE0640FCD" xlink:type="locator" />
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    <link:label id="lab_us-gaap_ProfitLoss_D8D5EA707DBB6D0E82D508FAE0640054_verboseLabel_en-US" xlink:label="lab_us-gaap_ProfitLoss_D8D5EA707DBB6D0E82D508FAE0640054" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Net income</link:label>
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    <link:label id="lab_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_D24FCAE876DD2BF777A808FAE064985F_terseLabel_en-US" xlink:label="lab_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_D24FCAE876DD2BF777A808FAE064985F" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustments to reconcile net income to net cash provided by operating activities:</link:label>
    <link:label id="lab_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_D24FCAE876DD2BF777A808FAE064985F_label_en-US" xlink:label="lab_us-gaap_AdjustmentsNoncashItemsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_D24FCAE876DD2BF777A808FAE064985F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments, Noncash Items, to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DepreciationDepletionAndAmortization" xlink:label="loc_us-gaap_DepreciationDepletionAndAmortization_77812A0918654E3B0A7F08FAE064A684" xlink:type="locator" />
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    <link:label id="lab_us-gaap_AmortizationOfFinancingCostsAndDiscounts_8AEA6AD02C9085F82D7B08FAE0647970_terseLabel_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCostsAndDiscounts_8AEA6AD02C9085F82D7B08FAE0647970" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amortization of deferred financing costs and net debt discounts</link:label>
    <link:label id="lab_us-gaap_AmortizationOfFinancingCostsAndDiscounts_8AEA6AD02C9085F82D7B08FAE0647970_label_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCostsAndDiscounts_8AEA6AD02C9085F82D7B08FAE0647970" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amortization of Debt Issuance Costs and Discounts</link:label>
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    <link:label id="lab_us-gaap_StraightLineRent_31BABEC669AAB4A4153F08FAE0641A8B_negatedLabel_en-US" xlink:label="lab_us-gaap_StraightLineRent_31BABEC669AAB4A4153F08FAE0641A8B" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Increase in deferred rent receivable</link:label>
    <link:label id="lab_us-gaap_StraightLineRent_31BABEC669AAB4A4153F08FAE0641A8B_label_en-US" xlink:label="lab_us-gaap_StraightLineRent_31BABEC669AAB4A4153F08FAE0641A8B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Straight Line Rent</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_StraightLineRent" xlink:label="loc_us-gaap_StraightLineRent_31BABEC669AAB4A4153F08FAE0641A8B" xlink:type="locator" />
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    <link:label id="lab_us-gaap_GainLossOnSaleOfProperties_8649179BB9FCF567FD3608FAE064D5AB_negatedLabel_en-US" xlink:label="lab_us-gaap_GainLossOnSaleOfProperties_8649179BB9FCF567FD3608FAE064D5AB" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Gain on sales of real estate</link:label>
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    <link:label id="lab_us-gaap_ShareBasedCompensation_C87B8FF1851AC284BDD308FAE0735E5D_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensation_C87B8FF1851AC284BDD308FAE0735E5D" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share-based compensation</link:label>
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    <link:label id="lab_us-gaap_OtherNoncashIncomeExpense_75387F322CA7E2B9658C08FAE073C103_negatedLabel_en-US" xlink:label="lab_us-gaap_OtherNoncashIncomeExpense_75387F322CA7E2B9658C08FAE073C103" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
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    <link:label id="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_55C4713D20C873A0165A08FAE07316C9_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_55C4713D20C873A0165A08FAE07316C9" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Prepaid Expense and Other Assets</link:label>
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    <link:label id="lab_ofc_IncreaseDecreaseInAdvanceRentAndSecurityDepositLiability_281157174489B8BA4C0B08FAE073E79E_label_en-US" xlink:label="lab_ofc_IncreaseDecreaseInAdvanceRentAndSecurityDepositLiability_281157174489B8BA4C0B08FAE073E79E" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Advance Rent and Security Deposit Liability</link:label>
    <link:label id="lab_ofc_IncreaseDecreaseInAdvanceRentAndSecurityDepositLiability_281157174489B8BA4C0B08FAE073E79E_documentation_en-US" xlink:label="lab_ofc_IncreaseDecreaseInAdvanceRentAndSecurityDepositLiability_281157174489B8BA4C0B08FAE073E79E" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The net change in amount that has been received by the entity that represents collections of cash or other assets related to real estate operations revenue for which revenue has not yet been recognized and security deposits.</link:label>
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    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperationsAbstract_A5F28FACB8B9F7B559B908FAE07359DD_terseLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperationsAbstract_A5F28FACB8B9F7B559B908FAE07359DD" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reconciliation of cash and cash equivalents and restricted cash:</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperationsAbstract_A5F28FACB8B9F7B559B908FAE07359DD_label_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperationsAbstract_A5F28FACB8B9F7B559B908FAE07359DD" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents, Including Disposal Group and Discontinued Operations [Abstract]</link:label>
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    <link:label id="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_ADCFA4622FD5C303FA3C08FAE073685C_verboseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_ADCFA4622FD5C303FA3C08FAE073685C" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_ADCFA4622FD5C303FA3C08FAE073685C_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_ADCFA4622FD5C303FA3C08FAE073685C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents, at Carrying Value</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_ADCFA4622FD5C303FA3C08FAE073685C" xlink:type="locator" />
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    <link:label id="lab_us-gaap_RestrictedCash_D88E746A163EFBC6EA7E08FAE0732235_verboseLabel_en-US" xlink:label="lab_us-gaap_RestrictedCash_D88E746A163EFBC6EA7E08FAE0732235" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Restricted cash</link:label>
    <link:label id="lab_us-gaap_RestrictedCash_D88E746A163EFBC6EA7E08FAE0732235_label_en-US" xlink:label="lab_us-gaap_RestrictedCash_D88E746A163EFBC6EA7E08FAE0732235" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted Cash</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RestrictedCash" xlink:label="loc_us-gaap_RestrictedCash_D88E746A163EFBC6EA7E08FAE0732235" xlink:type="locator" />
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    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_2359F6EEE52F93E0AF0508FAE073E5D7_totalLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_2359F6EEE52F93E0AF0508FAE073E5D7" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents and restricted cash</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_2359F6EEE52F93E0AF0508FAE073E5D7" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_2359F6EEE52F93E0AF0508FAE073E5D7" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_2359F6EEE52F93E0AF0508FAE073E5D7" xlink:type="arc" />
    <link:label id="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_F4A0AEE7351A480A5EB508FAE0734024_terseLabel_en-US" xlink:label="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_F4A0AEE7351A480A5EB508FAE0734024" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Supplemental schedule of non-cash investing and financing activities:</link:label>
    <link:label id="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_F4A0AEE7351A480A5EB508FAE0734024_label_en-US" xlink:label="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_F4A0AEE7351A480A5EB508FAE0734024" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]</link:label>
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    <link:label id="lab_ofc_IncreaseDecreaseInAccruedCapitalImprovementsLeasingAndOtherInvestingActivityCosts_EA68BF5573F972CCA20308FAE0731611_terseLabel_en-US" xlink:label="lab_ofc_IncreaseDecreaseInAccruedCapitalImprovementsLeasingAndOtherInvestingActivityCosts_EA68BF5573F972CCA20308FAE0731611" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in accrued capital improvements, leasing and other investing activity costs</link:label>
    <link:label id="lab_ofc_IncreaseDecreaseInAccruedCapitalImprovementsLeasingAndOtherInvestingActivityCosts_EA68BF5573F972CCA20308FAE0731611_label_en-US" xlink:label="lab_ofc_IncreaseDecreaseInAccruedCapitalImprovementsLeasingAndOtherInvestingActivityCosts_EA68BF5573F972CCA20308FAE0731611" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Accrued Capital Improvements Leasing and Other Investing Activity Costs</link:label>
    <link:label id="lab_ofc_IncreaseDecreaseInAccruedCapitalImprovementsLeasingAndOtherInvestingActivityCosts_EA68BF5573F972CCA20308FAE0731611_documentation_en-US" xlink:label="lab_ofc_IncreaseDecreaseInAccruedCapitalImprovementsLeasingAndOtherInvestingActivityCosts_EA68BF5573F972CCA20308FAE0731611" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The net change during the reporting period in future cash outflow to pay for purchases of fixed assets, construction in progress expenditures, deferred leasing costs and other investing activity costs that have occurred.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_IncreaseDecreaseInAccruedCapitalImprovementsLeasingAndOtherInvestingActivityCosts" xlink:label="loc_ofc_IncreaseDecreaseInAccruedCapitalImprovementsLeasingAndOtherInvestingActivityCosts_EA68BF5573F972CCA20308FAE0731611" xlink:type="locator" />
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    <link:label id="lab_ofc_IncreaseDecreaseInFairValueOfDerivativesAppliedToAoclAndNoncontrollingInterests_DC0F5F6D8F90989A9DBF08FAE073470A_terseLabel_en-US" xlink:label="lab_ofc_IncreaseDecreaseInFairValueOfDerivativesAppliedToAoclAndNoncontrollingInterests_DC0F5F6D8F90989A9DBF08FAE073470A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase in fair value of derivatives applied to accumulated other comprehensive income and noncontrolling interests</link:label>
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    <link:loc xlink:href="ofc-20180331.xsd#ofc_IncreaseDecreaseInFairValueOfDerivativesAppliedToAoclAndNoncontrollingInterests" xlink:label="loc_ofc_IncreaseDecreaseInFairValueOfDerivativesAppliedToAoclAndNoncontrollingInterests_DC0F5F6D8F90989A9DBF08FAE073470A" xlink:type="locator" />
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    <link:label id="lab_ofc_EquityChangeStockIssuedDuringPeriodValueConversionOfUnits_7222C71C06B9AD7B6B8D08FAE0739033_terseLabel_en-US" xlink:label="lab_ofc_EquityChangeStockIssuedDuringPeriodValueConversionOfUnits_7222C71C06B9AD7B6B8D08FAE0739033" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Decrease in noncontrolling interests and increase in shareholders&#8217; equity in connection with the conversion of common units into common shares</link:label>
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    <link:label id="lab_us-gaap_DebtDisclosureTextBlock_465C4508609A4E83B9DBAB70FC228796_terseLabel_en-US" xlink:label="lab_us-gaap_DebtDisclosureTextBlock_465C4508609A4E83B9DBAB70FC228796" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt, Net</link:label>
    <link:label id="lab_us-gaap_DebtDisclosureTextBlock_465C4508609A4E83B9DBAB70FC228796_label_en-US" xlink:label="lab_us-gaap_DebtDisclosureTextBlock_465C4508609A4E83B9DBAB70FC228796" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Disclosure [Text Block]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DebtDisclosureTextBlock" xlink:label="loc_us-gaap_DebtDisclosureTextBlock_465C4508609A4E83B9DBAB70FC228796" xlink:type="locator" />
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    <link:label id="lab_us-gaap_StatementOfFinancialPositionAbstract_9BA57CE2B75892E8044AF3DBA6096766_label_en-US" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract_9BA57CE2B75892E8044AF3DBA6096766" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Financial Position [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_StatementOfFinancialPositionAbstract" xlink:label="loc_us-gaap_StatementOfFinancialPositionAbstract_9BA57CE2B75892E8044AF3DBA6096766" xlink:type="locator" />
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    <link:label id="lab_us-gaap_AssetsAbstract_376D31DC24FD86ED6E47F3DBA60C45DC_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsAbstract_376D31DC24FD86ED6E47F3DBA60C45DC" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:label id="lab_us-gaap_AssetsAbstract_376D31DC24FD86ED6E47F3DBA60C45DC_label_en-US" xlink:label="lab_us-gaap_AssetsAbstract_376D31DC24FD86ED6E47F3DBA60C45DC" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_AssetsAbstract" xlink:label="loc_us-gaap_AssetsAbstract_376D31DC24FD86ED6E47F3DBA60C45DC" xlink:type="locator" />
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    <link:label id="lab_us-gaap_RealEstateInvestmentPropertyNetAbstract_71D69A5D87DADDEEBE3DF3DBA60C7CEA_terseLabel_en-US" xlink:label="lab_us-gaap_RealEstateInvestmentPropertyNetAbstract_71D69A5D87DADDEEBE3DF3DBA60C7CEA" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Properties, net:</link:label>
    <link:label id="lab_us-gaap_RealEstateInvestmentPropertyNetAbstract_71D69A5D87DADDEEBE3DF3DBA60C7CEA_label_en-US" xlink:label="lab_us-gaap_RealEstateInvestmentPropertyNetAbstract_71D69A5D87DADDEEBE3DF3DBA60C7CEA" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate Investment Property, Net [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RealEstateInvestmentPropertyNetAbstract" xlink:label="loc_us-gaap_RealEstateInvestmentPropertyNetAbstract_71D69A5D87DADDEEBE3DF3DBA60C7CEA" xlink:type="locator" />
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    <link:label id="lab_us-gaap_RentalProperties_DAD69FEE3FC83767747EF3DBA60CC911_terseLabel_en-US" xlink:label="lab_us-gaap_RentalProperties_DAD69FEE3FC83767747EF3DBA60CC911" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Operating properties, net</link:label>
    <link:label id="lab_us-gaap_RentalProperties_DAD69FEE3FC83767747EF3DBA60CC911_label_en-US" xlink:label="lab_us-gaap_RentalProperties_DAD69FEE3FC83767747EF3DBA60CC911" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Rental Properties</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RentalProperties" xlink:label="loc_us-gaap_RentalProperties_DAD69FEE3FC83767747EF3DBA60CC911" xlink:type="locator" />
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    <link:label id="lab_us-gaap_RealEstateInvestmentPropertyNet_DEBA09F296B50532F599F3DBA60D720B_totalLabel_en-US" xlink:label="lab_us-gaap_RealEstateInvestmentPropertyNet_DEBA09F296B50532F599F3DBA60D720B" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total properties, net</link:label>
    <link:label id="lab_us-gaap_RealEstateInvestmentPropertyNet_DEBA09F296B50532F599F3DBA60D720B_label_en-US" xlink:label="lab_us-gaap_RealEstateInvestmentPropertyNet_DEBA09F296B50532F599F3DBA60D720B" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate Investment Property, Net</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RealEstateInvestmentPropertyNet" xlink:label="loc_us-gaap_RealEstateInvestmentPropertyNet_DEBA09F296B50532F599F3DBA60D720B" xlink:type="locator" />
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    <link:label id="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_928D597294B9A8F7A8F1F3DBA60D3C5E_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_928D597294B9A8F7A8F1F3DBA60D3C5E" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assets held for sale, net</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation" xlink:label="loc_us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperation_928D597294B9A8F7A8F1F3DBA60D3C5E" xlink:type="locator" />
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    <link:label id="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_24C943857031BF7FB832F3DBA60DA409_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_24C943857031BF7FB832F3DBA60DA409" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_24C943857031BF7FB832F3DBA60DA409" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_24C943857031BF7FB832F3DBA60DA409" xlink:to="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_24C943857031BF7FB832F3DBA60DA409" xlink:type="arc" />
    <link:label id="lab_us-gaap_AccountsReceivableNet_C94495D7B1C6ED9E4862F3DBA60DBD9F_verboseLabel_en-US" xlink:label="lab_us-gaap_AccountsReceivableNet_C94495D7B1C6ED9E4862F3DBA60DBD9F" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Accounts receivable (net of allowance for doubtful accounts of $742 and $607, respectively)</link:label>
    <link:label id="lab_us-gaap_AccountsReceivableNet_C94495D7B1C6ED9E4862F3DBA60DBD9F_label_en-US" xlink:label="lab_us-gaap_AccountsReceivableNet_C94495D7B1C6ED9E4862F3DBA60DBD9F" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accounts Receivable, Net</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_AccountsReceivableNet" xlink:label="loc_us-gaap_AccountsReceivableNet_C94495D7B1C6ED9E4862F3DBA60DBD9F" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccountsReceivableNet_C94495D7B1C6ED9E4862F3DBA60DBD9F" xlink:to="lab_us-gaap_AccountsReceivableNet_C94495D7B1C6ED9E4862F3DBA60DBD9F" xlink:type="arc" />
    <link:label id="lab_us-gaap_DeferredRentReceivablesNet_3A49EBE132098ABF633EF3DBA60D8855_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredRentReceivablesNet_3A49EBE132098ABF633EF3DBA60D8855" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred rent receivable (net of allowance of $375 and $364, respectively)</link:label>
    <link:label id="lab_us-gaap_DeferredRentReceivablesNet_3A49EBE132098ABF633EF3DBA60D8855_label_en-US" xlink:label="lab_us-gaap_DeferredRentReceivablesNet_3A49EBE132098ABF633EF3DBA60D8855" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Rent Receivables, Net</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DeferredRentReceivablesNet" xlink:label="loc_us-gaap_DeferredRentReceivablesNet_3A49EBE132098ABF633EF3DBA60D8855" xlink:type="locator" />
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    <link:label id="lab_us-gaap_IntangibleAssetsNetExcludingGoodwill_CD9B1E2ABC1BA97A9881F3DBA60D96AC_terseLabel_en-US" xlink:label="lab_us-gaap_IntangibleAssetsNetExcludingGoodwill_CD9B1E2ABC1BA97A9881F3DBA60D96AC" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Intangible assets on real estate acquisitions, net</link:label>
    <link:label id="lab_us-gaap_IntangibleAssetsNetExcludingGoodwill_CD9B1E2ABC1BA97A9881F3DBA60D96AC_label_en-US" xlink:label="lab_us-gaap_IntangibleAssetsNetExcludingGoodwill_CD9B1E2ABC1BA97A9881F3DBA60D96AC" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Intangible Assets, Net (Excluding Goodwill)</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_CD9B1E2ABC1BA97A9881F3DBA60D96AC" xlink:type="locator" />
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    <link:label id="lab_us-gaap_DeferredCostsLeasingNet_28CD9F35D72E86552E43F3DBA60D1275_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredCostsLeasingNet_28CD9F35D72E86552E43F3DBA60D1275" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred leasing costs (net of accumulated amortization of $29,435 and $29,560, respectively)</link:label>
    <link:label id="lab_us-gaap_DeferredCostsLeasingNet_28CD9F35D72E86552E43F3DBA60D1275_label_en-US" xlink:label="lab_us-gaap_DeferredCostsLeasingNet_28CD9F35D72E86552E43F3DBA60D1275" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Costs, Leasing, Net</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DeferredCostsLeasingNet" xlink:label="loc_us-gaap_DeferredCostsLeasingNet_28CD9F35D72E86552E43F3DBA60D1275" xlink:type="locator" />
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    <link:label id="lab_us-gaap_PrepaidExpenseAndOtherAssets_9EF8E9EFB188F5ECA5ACF3DBA60ED846_terseLabel_en-US" xlink:label="lab_us-gaap_PrepaidExpenseAndOtherAssets_9EF8E9EFB188F5ECA5ACF3DBA60ED846" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Prepaid expenses and other assets, net</link:label>
    <link:label id="lab_us-gaap_PrepaidExpenseAndOtherAssets_9EF8E9EFB188F5ECA5ACF3DBA60ED846_label_en-US" xlink:label="lab_us-gaap_PrepaidExpenseAndOtherAssets_9EF8E9EFB188F5ECA5ACF3DBA60ED846" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Prepaid Expense and Other Assets</link:label>
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    <link:label id="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract_4F16804C45F612878C0FF3DBA60EBAEC_label_en-US" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract_4F16804C45F612878C0FF3DBA60EBAEC" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities and Equity [Abstract]</link:label>
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    <link:label id="lab_us-gaap_LiabilitiesAbstract_E7B8D32882BFF9E083E1F3DBA60E17A1_label_en-US" xlink:label="lab_us-gaap_LiabilitiesAbstract_E7B8D32882BFF9E083E1F3DBA60E17A1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities [Abstract]</link:label>
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    <link:loc xlink:href="ofc-20180331.xsd#ofc_AdvanceRentAndSecurityDepositLiability" xlink:label="loc_ofc_AdvanceRentAndSecurityDepositLiability_DCA43E425C7B9B979461F3DBA611B30C" xlink:type="locator" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_DeferredRevenueLeasesNet" xlink:label="loc_us-gaap_DeferredRevenueLeasesNet_ABCC2016A14DD5767074F3DBA612B8FD" xlink:type="locator" />
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    <link:label id="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_BF70CB5D369868487E50F3DBA61241C9_terseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_BF70CB5D369868487E50F3DBA61241C9" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred property sale</link:label>
    <link:label id="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_BF70CB5D369868487E50F3DBA61241C9_label_en-US" xlink:label="lab_us-gaap_LiabilitiesOfDisposalGroupIncludingDiscontinuedOperation_BF70CB5D369868487E50F3DBA61241C9" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Liabilities</link:label>
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    <link:label id="lab_ofc_PropertiesUnderConstructionOrContractuallyCommitedForConstructionMember_D1CA7F6E2DE7B32FB910F4A45FE25E31_terseLabel_en-US" xlink:label="lab_ofc_PropertiesUnderConstructionOrContractuallyCommitedForConstructionMember_D1CA7F6E2DE7B32FB910F4A45FE25E31" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Properties under construction or contractually committed for construction</link:label>
    <link:label id="lab_ofc_PropertiesUnderConstructionOrContractuallyCommitedForConstructionMember_D1CA7F6E2DE7B32FB910F4A45FE25E31_label_en-US" xlink:label="lab_ofc_PropertiesUnderConstructionOrContractuallyCommitedForConstructionMember_D1CA7F6E2DE7B32FB910F4A45FE25E31" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Properties under Construction or Contractually Commited for Construction [Member]</link:label>
    <link:label id="lab_ofc_PropertiesUnderConstructionOrContractuallyCommitedForConstructionMember_D1CA7F6E2DE7B32FB910F4A45FE25E31_documentation_en-US" xlink:label="lab_ofc_PropertiesUnderConstructionOrContractuallyCommitedForConstructionMember_D1CA7F6E2DE7B32FB910F4A45FE25E31" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents real estate office properties under construction or contractually committed for construction.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_PropertiesUnderConstructionOrContractuallyCommitedForConstructionMember" xlink:label="loc_ofc_PropertiesUnderConstructionOrContractuallyCommitedForConstructionMember_D1CA7F6E2DE7B32FB910F4A45FE25E31" xlink:type="locator" />
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    <link:label id="lab_ofc_PropertiesUnderorApprovedforRedevelopmentMember_AC72605F1ABF0D4AA795F4A45FE2F5D2_terseLabel_en-US" xlink:label="lab_ofc_PropertiesUnderorApprovedforRedevelopmentMember_AC72605F1ABF0D4AA795F4A45FE2F5D2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Properties under or approved for redevelopment</link:label>
    <link:label id="lab_ofc_PropertiesUnderorApprovedforRedevelopmentMember_AC72605F1ABF0D4AA795F4A45FE2F5D2_label_en-US" xlink:label="lab_ofc_PropertiesUnderorApprovedforRedevelopmentMember_AC72605F1ABF0D4AA795F4A45FE2F5D2" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Properties Under or Approved for Redevelopment [Member]</link:label>
    <link:label id="lab_ofc_PropertiesUnderorApprovedforRedevelopmentMember_AC72605F1ABF0D4AA795F4A45FE2F5D2_documentation_en-US" xlink:label="lab_ofc_PropertiesUnderorApprovedforRedevelopmentMember_AC72605F1ABF0D4AA795F4A45FE2F5D2" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents real estate office properties under, or approved for, redevelopment.</link:label>
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    <link:label id="lab_us-gaap_RealEstatePropertiesLineItems_9F55D94987D4EBD4A5EFF4A45FE258CB_verboseLabel_en-US" xlink:label="lab_us-gaap_RealEstatePropertiesLineItems_9F55D94987D4EBD4A5EFF4A45FE258CB" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Construction, Redevelopment and Dispositions</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_RealEstatePropertiesLineItems" xlink:label="loc_us-gaap_RealEstatePropertiesLineItems_9F55D94987D4EBD4A5EFF4A45FE258CB" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealEstatePropertiesLineItems_9F55D94987D4EBD4A5EFF4A45FE258CB" xlink:to="lab_us-gaap_RealEstatePropertiesLineItems_9F55D94987D4EBD4A5EFF4A45FE258CB" xlink:type="arc" />
    <link:label id="lab_us-gaap_AreaOfRealEstateProperty_B9C35C5D7A02EB351EA3F4A45FE3A381_terseLabel_en-US" xlink:label="lab_us-gaap_AreaOfRealEstateProperty_B9C35C5D7A02EB351EA3F4A45FE3A381" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Square footage of real estate properties (in square feet)</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_AreaOfRealEstateProperty" xlink:label="loc_us-gaap_AreaOfRealEstateProperty_B9C35C5D7A02EB351EA3F4A45FE3A381" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AreaOfRealEstateProperty_B9C35C5D7A02EB351EA3F4A45FE3A381" xlink:to="lab_us-gaap_AreaOfRealEstateProperty_B9C35C5D7A02EB351EA3F4A45FE3A381" xlink:type="arc" />
    <link:label id="lab_ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock_988C02C8D0C7D577D602AB70FC3AB462_terseLabel_en-US" xlink:label="lab_ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock_988C02C8D0C7D577D602AB70FC3AB462" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of prepaid expenses and other assets</link:label>
    <link:label id="lab_ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock_988C02C8D0C7D577D602AB70FC3AB462_label_en-US" xlink:label="lab_ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock_988C02C8D0C7D577D602AB70FC3AB462" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Prepaid and Other Assets [Table Text Block]</link:label>
    <link:label id="lab_ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock_988C02C8D0C7D577D602AB70FC3AB462_documentation_en-US" xlink:label="lab_ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock_988C02C8D0C7D577D602AB70FC3AB462" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tabular disclosure of the carrying amounts of prepaid expenses and other assets, by major class.</link:label>
    <link:loc xlink:href="ofc-20180331.xsd#ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock" xlink:label="loc_ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock_988C02C8D0C7D577D602AB70FC3AB462" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock_988C02C8D0C7D577D602AB70FC3AB462" xlink:to="lab_ofc_ScheduleOfPrepaidAndOtherAssetsTableTextBlock_988C02C8D0C7D577D602AB70FC3AB462" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsRemainderOfFiscalYear_47FCE49BA355AAF4088AAB70FB40AA66_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsRemainderOfFiscalYear_47FCE49BA355AAF4088AAB70FB40AA66" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2018</link:label>
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsRemainderOfFiscalYear_47FCE49BA355AAF4088AAB70FB40AA66_label_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsRemainderOfFiscalYear_47FCE49BA355AAF4088AAB70FB40AA66" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Leases, Future Minimum Payments, Remainder of Fiscal Year</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsRemainderOfFiscalYear" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsRemainderOfFiscalYear_47FCE49BA355AAF4088AAB70FB40AA66" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsRemainderOfFiscalYear_47FCE49BA355AAF4088AAB70FB40AA66" xlink:to="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsRemainderOfFiscalYear_47FCE49BA355AAF4088AAB70FB40AA66" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears_ED6C73A70AC919E9D538AB70FB40F14A_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears_ED6C73A70AC919E9D538AB70FB40F14A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2019</link:label>
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears_ED6C73A70AC919E9D538AB70FB40F14A_label_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears_ED6C73A70AC919E9D538AB70FB40F14A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Leases, Future Minimum Payments, Due in Two Years</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears_ED6C73A70AC919E9D538AB70FB40F14A" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears_ED6C73A70AC919E9D538AB70FB40F14A" xlink:to="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears_ED6C73A70AC919E9D538AB70FB40F14A" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears_A1560B31B0262D272139AB70FB404C3A_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears_A1560B31B0262D272139AB70FB404C3A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2020</link:label>
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears_A1560B31B0262D272139AB70FB404C3A_label_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears_A1560B31B0262D272139AB70FB404C3A" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Leases, Future Minimum Payments, Due in Three Years</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears_A1560B31B0262D272139AB70FB404C3A" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears_A1560B31B0262D272139AB70FB404C3A" xlink:to="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears_A1560B31B0262D272139AB70FB404C3A" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears_73F2ADDEA1F910BB1FDEAB70FB40F67C_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears_73F2ADDEA1F910BB1FDEAB70FB40F67C" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2021</link:label>
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears_73F2ADDEA1F910BB1FDEAB70FB40F67C_label_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears_73F2ADDEA1F910BB1FDEAB70FB40F67C" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Leases, Future Minimum Payments, Due in Four Years</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears_73F2ADDEA1F910BB1FDEAB70FB40F67C" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears_73F2ADDEA1F910BB1FDEAB70FB40F67C" xlink:to="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears_73F2ADDEA1F910BB1FDEAB70FB40F67C" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears_5E4C9A045C41F71D7DD3AB70FB4078BF_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears_5E4C9A045C41F71D7DD3AB70FB4078BF" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2022</link:label>
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears_5E4C9A045C41F71D7DD3AB70FB4078BF_label_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears_5E4C9A045C41F71D7DD3AB70FB4078BF" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Leases, Future Minimum Payments, Due in Five Years</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears_5E4C9A045C41F71D7DD3AB70FB4078BF" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears_5E4C9A045C41F71D7DD3AB70FB4078BF" xlink:to="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears_5E4C9A045C41F71D7DD3AB70FB4078BF" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter_263ECB4BC300299C706EAB70FB40269B_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter_263ECB4BC300299C706EAB70FB40269B" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Thereafter</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter_263ECB4BC300299C706EAB70FB40269B" xlink:type="locator" />
    <link:labelArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter_263ECB4BC300299C706EAB70FB40269B" xlink:to="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter_263ECB4BC300299C706EAB70FB40269B" xlink:type="arc" />
    <link:label id="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDue_EEEDAACE1A801804D5B8AB70FB404347_totalLabel_en-US" xlink:label="lab_us-gaap_OperatingLeasesFutureMinimumPaymentsDue_EEEDAACE1A801804D5B8AB70FB404347" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2017/elts/us-gaap-2017-01-31.xsd#us-gaap_OperatingLeasesFutureMinimumPaymentsDue" xlink:label="loc_us-gaap_OperatingLeasesFutureMinimumPaymentsDue_EEEDAACE1A801804D5B8AB70FB404347" xlink:type="locator" />
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    <link:label id="lab_us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_C197D6F2A0EEA876BC7E080817132CC1_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_C197D6F2A0EEA876BC7E080817132CC1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table]</link:label>
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    <link:label id="lab_ofc_ExchangeableCommonUnitsMember_2C2E924D8C91F6449D360808171306BF_label_en-US" xlink:label="lab_ofc_ExchangeableCommonUnitsMember_2C2E924D8C91F6449D360808171306BF" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Exchangeable Common Units [Member]</link:label>
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    <link:label id="lab_ofc_RestrictedStockandDeferredSharesMember_48B7BCC11C06B2788DE308081713FC55_documentation_en-US" xlink:label="lab_ofc_RestrictedStockandDeferredSharesMember_48B7BCC11C06B2788DE308081713FC55" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Restricted Stock and Deferred Shares [Member]</link:label>
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    <link:label id="lab_us-gaap_EmployeeStockOptionMember_3756BA4C718A1390D86E080817138893_terseLabel_en-US" xlink:label="lab_us-gaap_EmployeeStockOptionMember_3756BA4C718A1390D86E080817138893" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average options</link:label>
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    <link:label id="lab_ofc_SeriesIPreferredUnitsMember_4EA6E6667EEFD48D6545080817130FA1_label_en-US" xlink:label="lab_ofc_SeriesIPreferredUnitsMember_4EA6E6667EEFD48D6545080817130FA1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Series I Preferred Units [Member]</link:label>
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    <link:label id="lab_us-gaap_IncentiveToLessee_0546C22984863ACE384C080817780A77_terseLabel_en-US" xlink:label="lab_us-gaap_IncentiveToLessee_0546C22984863ACE384C080817780A77" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lease incentives, net</link:label>
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    <link:label id="lab_us-gaap_InterestRateCashFlowHedgeAssetAtFairValue_BDDA6DAD013885C16F8B08081778FDB7_verboseLabel_en-US" xlink:label="lab_us-gaap_InterestRateCashFlowHedgeAssetAtFairValue_BDDA6DAD013885C16F8B08081778FDB7" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Interest rate derivatives</link:label>
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    <link:label id="lab_ofc_NorthernVirginiaMember_D1A6BBBC16702E0EA7B5080817402942_documentation_en-US" xlink:label="lab_ofc_NorthernVirginiaMember_D1A6BBBC16702E0EA7B5080817402942" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents Northern Virginia.</link:label>
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    <link:label id="lab_ofc_NavySupportLocationsMember_DEB1662EAF4D94745A8808081740A15A_terseLabel_en-US" xlink:label="lab_ofc_NavySupportLocationsMember_DEB1662EAF4D94745A8808081740A15A" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Navy Support Locations</link:label>
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