<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-02-10</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001428875</issuerCik>
        <issuerName>SERVICEMASTER GLOBAL HOLDINGS INC</issuerName>
        <issuerTradingSymbol>SERV</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001586449</rptOwnerCik>
            <rptOwnerName>StepStone Group Holdings LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4350 LA JOLLA VILLAGE DR., SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92122</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001502287</rptOwnerCik>
            <rptOwnerName>StepStone Group LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4350 LA JOLLA VILLAGE DRIVE, SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92122</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001502288</rptOwnerCik>
            <rptOwnerName>StepStone Co-Investment Funds GP, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4350 LA JOLLA VILLAGE DRIVE, SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92122</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001611683</rptOwnerCik>
            <rptOwnerName>2007 Co-Investment Portfolio, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4350 LA JOLLA VILLAGE DRIVE, SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92122</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001375500</rptOwnerCik>
            <rptOwnerName>STEPSTONE CAPITAL PARTNERS II ONSHORE L P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4350 LA JOLLA VILLAGE DRIVE, SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92122</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001441380</rptOwnerCik>
            <rptOwnerName>StepStone Capital Partners II Cayman Holdings, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4350 LA JOLLA VILLAGE DRIVE, SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92122</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001611682</rptOwnerCik>
            <rptOwnerName>StepStone Co-Investment (ServiceMaster) LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4350 LA JOLLA VILLAGE DRIVE, SUITE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92122</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.001 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2015-02-10</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>4458138</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>29.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8769493</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The reporting persons may be deemed to be members of a group beneficially owning 10% or more of the shares of common stock of the issuer (&quot;Common Shares&quot;) within the meaning of Section 13(d) of the Securities Exchange Act of 1934. Except as set forth herein, the reporting persons disclaim beneficial ownership of all securities other than those reported herein, and this report shall not be deemed an admission that such a group exists or that the reporting persons are the beneficial owner of the securities of such group for purposes of Section 16 or any other purpose.</footnote>
        <footnote id="F2">StepStone Group Holdings LLC is the general partner of StepStone Group LP (&quot;StepStone LP&quot;), which is the sole member of StepStone Co-Investment Funds GP, LLC (&quot;StepStone GP&quot;), which is the sole general partner of each of 2007 Co-Investment Portfolio L.P. (&quot;2007 Co-Invest&quot;), StepStone Capital Partners II Onshore, L.P. (&quot;Onshore&quot;) and StepStone Capital Partners II Cayman Holding, L.P. (&quot;Cayman&quot;) and the sole manager of StepStone Co-Investment (ServiceMaster) LLC (&quot;Co-Investment&quot; and, collectively with 2007 Co-Invest, Onshore and Cayman, the &quot;StepStone Funds&quot;)).  2007 Co-Invest directly owns 2,030,455 Common Shares, Onshore directly owns 1,029,427 Common Shares, Cayman directly owns 1,289,902 Common Shares and Co-Investment directly owns 4,419,709 Common Shares. (Continued in Footnote 3)</footnote>
        <footnote id="F3">The dispositions reported in this form include the following dispositions pursuant to an exercised over-allotment option, which sales will close on February 13, 2015:  134,615 shares by 2007 Co-Invest, 68,264 shares by Onshore, 85,537 shares by Cayman, and 293,080 shares by Co-Investment.</footnote>
    </footnotes>

    <remarks>Each of the StepStone Funds disclaims beneficial ownership of any Common Shares held by any other person. Each of StepStone Group Holding LLC, StepStone LP and StepStone GP disclaim beneficial ownership of any Common Shares beneficially held by the StepStone Funds except to the extent of their pecuniary interest in the StepStone Funds, if any.</remarks>

    <ownerSignature>
        <signatureName>StepStone Group Holdings LLC, by its partner and general counsel, Jason Ment. /s/ Jason Ment</signatureName>
        <signatureDate>2015-02-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>StepStone Group LP, by its general partner StepStone Group Holdings LLC, by its partner and general counsel, Jason Ment. /s/ Jason Ment</signatureName>
        <signatureDate>2015-02-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>StepStone Co-Investment Funds GP, LLC, by its partner and general counsel, Jason Ment. /s/ Jason Ment</signatureName>
        <signatureDate>2015-02-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Each StepStone Fund, by its general partner, StepStone Co-Investment Funds GP, LLC, by its partner and general counsel. /s/ Jason Ment.</signatureName>
        <signatureDate>2015-02-12</signatureDate>
    </ownerSignature>
</ownershipDocument>
