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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-02-26</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000921112</issuerCik>
        <issuerName>LIBERTY PROPERTY TRUST</issuerName>
        <issuerTradingSymbol>LRY</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001271836</rptOwnerCik>
            <rptOwnerName>PAPA CHRISTOPHER J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O LIBERTY PROPERTY TRUST</rptOwnerStreet1>
            <rptOwnerStreet2>650 EAST SWEDESFORD ROAD, SUITE 400</rptOwnerStreet2>
            <rptOwnerCity>WAYNE</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19087</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Exec. Vice President and CFO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares of Beneficial Interest ($0.001 par value)</value>
            </securityTitle>
            <transactionDate>
                <value>2019-02-26</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>32863</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>62378</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Includes (i) 5,372 restricted common shares granted on February 26, 2019 that will vest on the third anniversary of the date of grant, subject to continued employment and (ii) 27,491 common shares consisting of common shares issuable pursuant to restricted share units granted in 2016, as compensation, the performance conditions relating to which have been satisfied, and shares that accrued under the Company's Dividend Reinvestment Plan with respect to such restricted share units.</footnote>
        <footnote id="F2">Received as employment compensation.</footnote>
        <footnote id="F3">Reflects increases relating to purchase by the reporting person pursuant to the Company's Employee Stock Purchase Plan of 581 shares in June 2018.</footnote>
        <footnote id="F4">This total reflects that, as reported in an amended Form 4 filed on February 28, 2019, the Form 4 filed by the reporting person on March 20, 2018 inadvertently reported that 7,808 shares had been withheld in payment of income taxes upon the vesting of shares issued pursuant to awards the performance or other vesting conditions relating to which had been satisfied. This transaction was reported in error and in fact did not occur. As such, those shares are now included in the total number of shares owned by the reporting person.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Christopher J. Papa by Herman C. Fala as Attorney-in-Fact</signatureName>
        <signatureDate>2019-02-28</signatureDate>
    </ownerSignature>
</ownershipDocument>
