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

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2005-06-20</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001330708</rptOwnerCik>
            <rptOwnerName>Angelina Michael E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ENDURANCE SPECIALTY HOLDINGS LTD.</rptOwnerStreet1>
            <rptOwnerStreet2>WELLESLEY HOUSE, 90 PITTS BAY ROAD</rptOwnerStreet2>
            <rptOwnerCity>PEMBROKE</rptOwnerCity>
            <rptOwnerState>D0</rptOwnerState>
            <rptOwnerZipCode>HM08</rptOwnerZipCode>
            <rptOwnerStateDescription>BERMUDA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Actuary</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>This Form 3 is filed as a result of Mr. Angelina joining the Registrant as Chief Actuary on June 20, 2005.</remarks>

    <ownerSignature>
        <signatureName>/s/ Michael E. Angelina</signatureName>
        <signatureDate>2005-06-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
