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

    <schemaVersion>X0202</schemaVersion>

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    <periodOfReport>2006-09-29</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001198607</rptOwnerCik>
            <rptOwnerName>DELCOL JOHN V</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>HM 08</rptOwnerZipCode>
            <rptOwnerStateDescription>BERMUDA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>General Counsel and Secretary</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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                    <value>2966</value>
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                <value></value>
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                    <value>70</value>
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                    <value>9878</value>
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    <footnotes>
        <footnote id="F1">The dividend restricted share units granted vest and convert upon the expiration of the underlying restricted share units, as established in the agreement governing the underlying restricted share units and are forfeitable upon the violation of certain terms included in such agreement.</footnote>
        <footnote id="F2">The number of dividend restricted share units issued was determined pursuant to the terms of the agreement governing the securities based on (i) the closing sale price for the Company's ordinary shares on September 29, 2006 of $35.26 and (ii) the issuance by the Company of a $0.25 per share dividend on that date.</footnote>
        <footnote id="F3">The restricted share units are forfeitable only upon violation of a non-competition restriction and are converted into ordinary shares or their cash equivalent on March 1, 2008.</footnote>
        <footnote id="F4">The number of restricted share units issued was determined pursuant to the terms of the agreement governing the securities based on (i) the cumulative dividends that would otherwise have been used to reduce the strike price on options previously granted to the holder in order to make such options  compliant with Section 409A of the Internal Revenue Code and the regulations promulgated by the U.S. Internal Revenue Service under Section 409A and (ii) the closing sale price of the Company?s ordinary shares on the dates the dividends were originally paid.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ John V. Del Col</signatureName>
        <signatureDate>2006-10-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
