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

    <schemaVersion>X0203</schemaVersion>

    <documentType>3/A</documentType>

    <periodOfReport>2010-05-12</periodOfReport>

    <dateOfOriginalSubmission>2010-05-17</dateOfOriginalSubmission>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001141719</issuerCik>
        <issuerName>ALTERRA CAPITAL HOLDINGS Ltd</issuerName>
        <issuerTradingSymbol>ALTE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001490179</rptOwnerCik>
            <rptOwnerName>Berger John R.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ALTERRA CAPITAL HOLDINGS LIMITED</rptOwnerStreet1>
            <rptOwnerStreet2>ALTERRA HOUSE, 2 FRONT STREET</rptOwnerStreet2>
            <rptOwnerCity>HAMILTON, BERMUDA</rptOwnerCity>
            <rptOwnerState>D0</rptOwnerState>
            <rptOwnerZipCode>HM 11</rptOwnerZipCode>
            <rptOwnerStateDescription>BERMUDA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>CEO of Reinsurance</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>506935</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">This Amendment to the Form 3 filed by the Reporting Person on May 17, 2010 is being filed to correct the number of common shares of Alterra Capital Holdings Limited held by the Reporting Person.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Bernard K. Asirifi, Attoney-in-Fact</signatureName>
        <signatureDate>2010-06-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
