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

    <schemaVersion>X0704</schemaVersion>

    <submissionType>D</submissionType>

    <testOrLive>LIVE</testOrLive>

    <primaryIssuer>
        <cik>0001517543</cik>
        <entityName>Opportunistic Convertible Arbitrage Offshore Fund Ltd.</entityName>
        <issuerAddress>
            <street1>C/O OGIER FIDUCIARY SERVICES (CAYMAN)LTD</street1>
            <street2>89 NEXUS WAY</street2>
            <city>CAMANA BAY, GRAND CAYMAN</city>
            <stateOrCountry>E9</stateOrCountry>
            <stateOrCountryDescription>CAYMAN ISLANDS</stateOrCountryDescription>
            <zipCode>KY1-9007</zipCode>
        </issuerAddress>
        <issuerPhoneNumber>203-742-3600</issuerPhoneNumber>
        <jurisdictionOfInc>CAYMAN ISLANDS</jurisdictionOfInc>
        <edgarPreviousNameList>
            <previousName>Opportunistic Convertible Arbitrage Fund Ltd.</previousName>
        </edgarPreviousNameList>
        <entityType>Corporation</entityType>
        <yearOfInc>
            <withinFiveYears>true</withinFiveYears>
            <value>2008</value>
        </yearOfInc>
    </primaryIssuer>

    <relatedPersonsList>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Gregor</firstName>
                <middleName>M.</middleName>
                <lastName>Andrade</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Gregor Andrade is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Bradley</firstName>
                <middleName>D.</middleName>
                <lastName>Asness</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Bradley Asness is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Clifford</firstName>
                <middleName>S.</middleName>
                <lastName>Asness</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Clifford Asness is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Abdon</firstName>
                <lastName>Bolivar</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Abdon Bolivar is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Jacques</firstName>
                <middleName>A.</middleName>
                <lastName>Friedman</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Jacques Friedman is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Jeremy</firstName>
                <middleName>M.</middleName>
                <lastName>Getson</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Jeremy Getson is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>John</firstName>
                <lastName>Howard</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>John Howard is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Philip</firstName>
                <lastName>Hughes</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o Ogier Fiduciary Services (Cayman)Ltd</street1>
                <street2>89 Nexus Way</street2>
                <city>Camana Bay, Grand Cayman</city>
                <stateOrCountry>E9</stateOrCountry>
                <stateOrCountryDescription>CAYMAN ISLANDS</stateOrCountryDescription>
                <zipCode>KY1-9007</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification></relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Brian</firstName>
                <middleName>K.</middleName>
                <lastName>Hurst</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Brian Hurst is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Ronen</firstName>
                <lastName>Israel</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Ronen Israel is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>David</firstName>
                <middleName>G.</middleName>
                <lastName>Kabiller</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>David Kabiller is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Robert</firstName>
                <middleName>J.</middleName>
                <lastName>Krail</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Robert Krail is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Oktay</firstName>
                <lastName>Kurbanov</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Oktay Kurbanov is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>John</firstName>
                <middleName>M.</middleName>
                <lastName>Liew</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>John Liew is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Stephen</firstName>
                <middleName>J.</middleName>
                <lastName>Mellas</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Stephen Mellas is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Michael</firstName>
                <middleName>A.</middleName>
                <lastName>Mendelson</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Michael Mendelson is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Vijayabalan</firstName>
                <lastName>Murugesu</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o Ogier Fiduciary Services (Cayman)Ltd</street1>
                <street2>89 Nexus Way</street2>
                <city>Camana Bay, Grand Cayman</city>
                <stateOrCountry>E9</stateOrCountry>
                <stateOrCountryDescription>CAYMAN ISLANDS</stateOrCountryDescription>
                <zipCode>KY1-9007</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Director</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification></relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Lars</firstName>
                <lastName>Nielsen</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Lars Nielsen is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Lasse</firstName>
                <lastName>Pedersen</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>c/o AQR Capital Management, LLC</street1>
                <street2>Two Greenwich Plaza, 3rd Floor</street2>
                <city>Greenwich</city>
                <stateOrCountry>CT</stateOrCountry>
                <stateOrCountryDescription>CONNECTICUT</stateOrCountryDescription>
                <zipCode>06830</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Lasse Pedersen is an Executive Officer of AQR Capital Management, LLC, the Investment Manager of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
    </relatedPersonsList>

    <offeringData>
        <industryGroup>
            <industryGroupType>Pooled Investment Fund</industryGroupType>
            <investmentFundInfo>
                <investmentFundType>Hedge Fund</investmentFundType>
                <is40Act>false</is40Act>
            </investmentFundInfo>
        </industryGroup>
        <issuerSize>
            <aggregateNetAssetValueRange>Decline to Disclose</aggregateNetAssetValueRange>
        </issuerSize>
        <federalExemptionsExclusions>
            <item>06</item>
            <item>3C</item>
            <item>3C.7</item>
        </federalExemptionsExclusions>
        <typeOfFiling>
            <newOrAmendment>
                <isAmendment>false</isAmendment>
            </newOrAmendment>
            <dateOfFirstSale>
                <yetToOccur>true</yetToOccur>
            </dateOfFirstSale>
        </typeOfFiling>
        <durationOfOffering>
            <moreThanOneYear>true</moreThanOneYear>
        </durationOfOffering>
        <typesOfSecuritiesOffered>
            <isPooledInvestmentFundType>true</isPooledInvestmentFundType>
        </typesOfSecuritiesOffered>
        <businessCombinationTransaction>
            <isBusinessCombinationTransaction>false</isBusinessCombinationTransaction>
            <clarificationOfResponse></clarificationOfResponse>
        </businessCombinationTransaction>
        <minimumInvestmentAccepted>5000000</minimumInvestmentAccepted>
        <salesCompensationList></salesCompensationList>
        <offeringSalesAmounts>
            <totalOfferingAmount>Indefinite</totalOfferingAmount>
            <totalAmountSold>0</totalAmountSold>
            <totalRemaining>Indefinite</totalRemaining>
            <clarificationOfResponse></clarificationOfResponse>
        </offeringSalesAmounts>
        <investors>
            <hasNonAccreditedInvestors>false</hasNonAccreditedInvestors>
            <totalNumberAlreadyInvested>0</totalNumberAlreadyInvested>
        </investors>
        <salesCommissionsFindersFees>
            <salesCommissions>
                <dollarAmount>0</dollarAmount>
            </salesCommissions>
            <findersFees>
                <dollarAmount>0</dollarAmount>
            </findersFees>
            <clarificationOfResponse></clarificationOfResponse>
        </salesCommissionsFindersFees>
        <useOfProceeds>
            <grossProceedsUsed>
                <dollarAmount>0</dollarAmount>
            </grossProceedsUsed>
            <clarificationOfResponse>The investment manager (or its affiliate) is entitled to receive an annual management fee in an amount equal to a specified percentage of assets under management.</clarificationOfResponse>
        </useOfProceeds>
        <signatureBlock>
            <authorizedRepresentative>false</authorizedRepresentative>
            <signature>
                <issuerName>Opportunistic Convertible Arbitrage Offshore Fund Ltd.</issuerName>
                <signatureName>Bradley D. Asness</signatureName>
                <nameOfSigner>Bradley D. Asness</nameOfSigner>
                <signatureTitle>Principal &amp; Chief Legal Officer</signatureTitle>
                <signatureDate>2011-04-15</signatureDate>
            </signature>
        </signatureBlock>
    </offeringData>
</edgarSubmission>
