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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2018-03-16</periodOfReport>

    <dateOfOriginalSubmission>2018-03-20</dateOfOriginalSubmission>

    <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>2018-03-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1059</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>40.20</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>30080</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The stock acquired reflects the election by the reporting person to receive common shares in lieu of cash for all or part of annual performance bonus compensation for 2017, consistent with a policy adopted by the Trust's Compensation Committee with respect to employee annual performance bonus compensation. By making such election, the reporting person received shares equal to 120% of the cash value of such bonus or portion thereof, less applicable withholding tax (the &quot;Bonus Value&quot;). The reporting person received the number of common shares able to be purchased with the dollar amount of the Bonus Value based on the closing price per share of the common shares on March 16, 2018 ($40.20).</footnote>
        <footnote id="F2">The Form 4 being amended hereby 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.</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>
