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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

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

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001179755</issuerCik>
        <issuerName>ENDURANCE SPECIALTY HOLDINGS LTD</issuerName>
        <issuerTradingSymbol>ENH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001265345</rptOwnerCik>
            <rptOwnerName>DAVIS MORGAN W</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ENDURANCE SPECIALTY HOLDINGS LTD.</rptOwnerStreet1>
            <rptOwnerStreet2>WATERLOO HOUSE, 100 PITTS BAY ROAD</rptOwnerStreet2>
            <rptOwnerCity>PEMBROKE</rptOwnerCity>
            <rptOwnerState>D0</rptOwnerState>
            <rptOwnerZipCode>HM 08</rptOwnerZipCode>
            <rptOwnerStateDescription>BERMUDA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Ordinary Shares, par value $1.00 per share</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>11488</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Ordinary Shares, par value $1.00 per share</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5664</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>IRA</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to that certain Agreement and Plan of Merger, dated as of March 31, 2015, by and among Montpelier Re Holdings Ltd. (&quot;Montpelier&quot;), 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;).   The total Endurance ordinary shares beneficially owned by the Reporting owner was derived from the total number of Montpelier common shares beneficially owned by such Reporting owner immediately prior to the effective time of the Merger multiplied by 0.472 (the exchange ratio).</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Morgan W. Davis</signatureName>
        <signatureDate>2015-08-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
