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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-07-31</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001165880</issuerCik>
        <issuerName>MONTPELIER RE HOLDINGS LTD</issuerName>
        <issuerTradingSymbol>MRH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001179755</rptOwnerCik>
            <rptOwnerName>ENDURANCE SPECIALTY HOLDINGS LTD</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>WATERLOO HOUSE, 100 PITTS BAY ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PEMBROKE</rptOwnerCity>
            <rptOwnerState>D0</rptOwnerState>
            <rptOwnerZipCode>HM 08</rptOwnerZipCode>
            <rptOwnerStateDescription>BERMUDA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares, par value 1/6 cent per share</value>
            </securityTitle>
            <transactionDate>
                <value>2015-07-31</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>100</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">(1) Endurance Specialty Holdings Ltd. (&quot;Endurance&quot;) indirectly owned 100 common shares, par value 1/6 cent per share (the &quot;Montpelier Shares&quot;), of Montpelier Re Holdings Ltd. (&quot;Montpelier&quot;) through a wholly-owned subsidiary of Endurance. Pursuant to that certain Agreement and Plan of Merger, dated as of March 31, 2015, by and among Montpelier, Endurance and Millhill Holdings Ltd., a direct, wholly-owned subsidiary of Endurance (&quot;Merger Sub&quot;), Montpelier merged with and into Merger Sub, with Merger Sub surviving such merger as a direct, wholly-owned subsidiary of Endurance (the &quot;Merger&quot;).  In connection with the Merger Agreement, Endurance entered into a voting agreement, dated as of March 31, 2015 (the &quot;Voting Agreement&quot;), with certain shareholders of Montpelier, which shareholders beneficially owned more than 10% of the Montpelier Shares. At the effective time of the Merger, (i) the 100 Montpelier Shares indirectly owned by Endurance were cancelled for no consideration;</footnote>
        <footnote id="F2">(Continued from Footnote 1) and (ii) the Voting Agreement terminated in accordance with its terms. As a result of the Merger, the cancellation of the 100 Montpelier Shares indirectly owned by Endurance and the termination of the Voting Agreement, Endurance ceased to be a beneficial owner of more than ten percent of the Montpelier Shares.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>ENDURANCE SPECIALTY HOLDINGS LTD. /s/ John V. Del Col, General Counsel &amp; Secretary</signatureName>
        <signatureDate>2015-08-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
