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

    <schemaVersion>X0708</schemaVersion>

    <submissionType>D</submissionType>

    <testOrLive>LIVE</testOrLive>

    <primaryIssuer>
        <cik>0002028032</cik>
        <entityName>Elliott Co-Investment B-4 L.P.</entityName>
        <issuerAddress>
            <street1>C/O HARMONIC FUND SVCS, CAYMAN CORP CNTR</street1>
            <street2>4TH FLOOR, 27 HOSPITAL ROAD</street2>
            <city>GEORGE TOWN, GRAND CAYMAN</city>
            <stateOrCountry>E9</stateOrCountry>
            <stateOrCountryDescription>CAYMAN ISLANDS</stateOrCountryDescription>
            <zipCode>KY1-1102</zipCode>
        </issuerAddress>
        <issuerPhoneNumber>345-949-0090</issuerPhoneNumber>
        <jurisdictionOfInc>CAYMAN ISLANDS</jurisdictionOfInc>
        <issuerPreviousNameList>
            <value>None</value>
        </issuerPreviousNameList>
        <edgarPreviousNameList>
            <value>None</value>
        </edgarPreviousNameList>
        <entityType>Other</entityType>
        <entityTypeOtherDesc>Cayman Islands Exempted limited
Partnership</entityTypeOtherDesc>
        <yearOfInc>
            <withinFiveYears>true</withinFiveYears>
            <value>2019</value>
        </yearOfInc>
    </primaryIssuer>

    <relatedPersonsList>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>n/a</firstName>
                <lastName>Elliott Co-Investment GP LLC</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>360 S. Rosemary Ave</street1>
                <street2>18th Floor</street2>
                <city>West Palm Beach</city>
                <stateOrCountry>FL</stateOrCountry>
                <stateOrCountryDescription>FLORIDA</stateOrCountryDescription>
                <zipCode>33401</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
                <relationship>Promoter</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Elliott Co-Investment GP LLC is the General Partner of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Paul</firstName>
                <middleName>E.</middleName>
                <lastName>Singer</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>360 S. Rosemary Ave</street1>
                <street2>18th Floor</street2>
                <city>West Palm Beach</city>
                <stateOrCountry>FL</stateOrCountry>
                <stateOrCountryDescription>FLORIDA</stateOrCountryDescription>
                <zipCode>33401</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
                <relationship>Promoter</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Mr. Singer is the controlling person of the General Partner of the Issuer.</relationshipClarification>
        </relatedPersonInfo>
    </relatedPersonsList>

    <offeringData>
        <industryGroup>
            <industryGroupType>Investing</industryGroupType>
        </industryGroup>
        <issuerSize>
            <revenueRange>Decline to Disclose</revenueRange>
        </issuerSize>
        <federalExemptionsExclusions>
            <item>06b</item>
            <item>3C</item>
            <item>3C.7</item>
        </federalExemptionsExclusions>
        <typeOfFiling>
            <newOrAmendment>
                <isAmendment>false</isAmendment>
            </newOrAmendment>
            <dateOfFirstSale>
                <yetToOccur>true</yetToOccur>
            </dateOfFirstSale>
        </typeOfFiling>
        <durationOfOffering>
            <moreThanOneYear>false</moreThanOneYear>
        </durationOfOffering>
        <typesOfSecuritiesOffered>
            <isEquityType>true</isEquityType>
        </typesOfSecuritiesOffered>
        <businessCombinationTransaction>
            <isBusinessCombinationTransaction>false</isBusinessCombinationTransaction>
            <clarificationOfResponse></clarificationOfResponse>
        </businessCombinationTransaction>
        <minimumInvestmentAccepted>0</minimumInvestmentAccepted>
        <salesCompensationList></salesCompensationList>
        <offeringSalesAmounts>
            <totalOfferingAmount>65406598</totalOfferingAmount>
            <totalAmountSold>0</totalAmountSold>
            <totalRemaining>65406598</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>
                <isEstimate>true</isEstimate>
            </grossProceedsUsed>
            <clarificationOfResponse>The Management Company of the Issuer is entitled to
receive a management fee from certain investors equal to a percentage of the invested capital of such investors.</clarificationOfResponse>
        </useOfProceeds>
        <signatureBlock>
            <authorizedRepresentative>false</authorizedRepresentative>
            <signature>
                <issuerName>Elliott Co-Investment B-4 L.P.</issuerName>
                <signatureName>/s/ Elliot Greenberg</signatureName>
                <nameOfSigner>Elliot Greenberg</nameOfSigner>
                <signatureTitle>Vice President of the General Partner</signatureTitle>
                <signatureDate>2024-06-24</signatureDate>
            </signature>
        </signatureBlock>
    </offeringData>
</edgarSubmission>
