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        <issuerName>ASPEN INSURANCE HOLDINGS LTD</issuerName>
        <issuerTradingSymbol>AHL</issuerTradingSymbol>
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            <rptOwnerName>Issavi Emil</rptOwnerName>
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            <rptOwnerStreet1>ASPEN INSURANCE HOLDINGS LIMITED</rptOwnerStreet1>
            <rptOwnerStreet2>141 FRONT STREET</rptOwnerStreet2>
            <rptOwnerCity>HAMILTON</rptOwnerCity>
            <rptOwnerState>D0</rptOwnerState>
            <rptOwnerZipCode>Hm19</rptOwnerZipCode>
            <rptOwnerStateDescription>BERMUDA</rptOwnerStateDescription>
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            <officerTitle>CUO, Aspen Re</officerTitle>
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    <footnotes></footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Patricia Roufca as Attorney-in-Fact for Emil Issavi</signatureName>
        <signatureDate>2013-08-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
