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

    <schemaVersion>X0708</schemaVersion>

    <submissionType>D</submissionType>

    <testOrLive>LIVE</testOrLive>

    <primaryIssuer>
        <cik>0001753656</cik>
        <entityName>ACCORD GP CO-INVESTMENT OPPORTUNITY III, L.P.</entityName>
        <issuerAddress>
            <street1>C/O MAPLES CORPORATE SERVICES LIMITED</street1>
            <street2>UGLAND HOUSE</street2>
            <city>GRAND CAYMAN</city>
            <stateOrCountry>E9</stateOrCountry>
            <stateOrCountryDescription>CAYMAN ISLANDS</stateOrCountryDescription>
            <zipCode>KY1-1104</zipCode>
        </issuerAddress>
        <issuerPhoneNumber>628-218-7979</issuerPhoneNumber>
        <jurisdictionOfInc>DELAWARE</jurisdictionOfInc>
        <issuerPreviousNameList>
            <value>None</value>
        </issuerPreviousNameList>
        <edgarPreviousNameList>
            <value>None</value>
        </edgarPreviousNameList>
        <entityType>Limited Partnership</entityType>
        <yearOfInc>
            <withinFiveYears>true</withinFiveYears>
            <value>2018</value>
        </yearOfInc>
    </primaryIssuer>

    <relatedPersonsList>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>DESIDERIO</firstName>
                <middleName>G</middleName>
                <lastName>CO</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>240 STOCKTON STREET</street1>
                <street2>7th FLOOR</street2>
                <city>SAN FRANCISCO</city>
                <stateOrCountry>CA</stateOrCountry>
                <stateOrCountryDescription>CALIFORNIA</stateOrCountryDescription>
                <zipCode>94108</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Managing Member of AGCIO I GP LLC, the Issuer's General Partner</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>JONATHAN</firstName>
                <middleName>PAUL</middleName>
                <lastName>JACKSON</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>54 PORTLAND PLACE</street1>
                <city>LONDON</city>
                <stateOrCountry>X0</stateOrCountry>
                <stateOrCountryDescription>UNITED KINGDOM</stateOrCountryDescription>
                <zipCode>W1B 1DY</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Managing Member of AGCIO I GP LLC, the Issuer's General Partner</relationshipClarification>
        </relatedPersonInfo>
    </relatedPersonsList>

    <offeringData>
        <industryGroup>
            <industryGroupType>Pooled Investment Fund</industryGroupType>
            <investmentFundInfo>
                <investmentFundType>Private Equity Fund</investmentFundType>
                <is40Act>false</is40Act>
            </investmentFundInfo>
        </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>
                <value>2018-07-18</value>
            </dateOfFirstSale>
        </typeOfFiling>
        <durationOfOffering>
            <moreThanOneYear>false</moreThanOneYear>
        </durationOfOffering>
        <typesOfSecuritiesOffered>
            <isEquityType>true</isEquityType>
            <isPooledInvestmentFundType>true</isPooledInvestmentFundType>
        </typesOfSecuritiesOffered>
        <businessCombinationTransaction>
            <isBusinessCombinationTransaction>false</isBusinessCombinationTransaction>
            <clarificationOfResponse></clarificationOfResponse>
        </businessCombinationTransaction>
        <minimumInvestmentAccepted>0</minimumInvestmentAccepted>
        <salesCompensationList>
            <recipient>
                <recipientName>ACCORD CAPITAL PARTNERS LLC</recipientName>
                <recipientCRDNumber>166498</recipientCRDNumber>
                <associatedBDName>None</associatedBDName>
                <associatedBDCRDNumber>None</associatedBDCRDNumber>
                <recipientAddress>
                    <street1>240 STOCKTON STREET</street1>
                    <street2>7th FLOOR</street2>
                    <city>SAN FRANCISCO</city>
                    <stateOrCountry>CA</stateOrCountry>
                    <stateOrCountryDescription>CALIFORNIA</stateOrCountryDescription>
                    <zipCode>94108</zipCode>
                </recipientAddress>
                <statesOfSolicitationList>
                    <state>CA</state>
                    <description>CALIFORNIA</description>
                    <state>IL</state>
                    <description>ILLINOIS</description>
                </statesOfSolicitationList>
                <foreignSolicitation>false</foreignSolicitation>
            </recipient>
        </salesCompensationList>
        <offeringSalesAmounts>
            <totalOfferingAmount>Indefinite</totalOfferingAmount>
            <totalAmountSold>29694750</totalAmountSold>
            <totalRemaining>Indefinite</totalRemaining>
            <clarificationOfResponse>The amount sold is calculated based on the Federal Reserve published exchange rate of 1.1645 CAD to 1 USD on 7/18/2018.</clarificationOfResponse>
        </offeringSalesAmounts>
        <investors>
            <hasNonAccreditedInvestors>false</hasNonAccreditedInvestors>
            <totalNumberAlreadyInvested>2</totalNumberAlreadyInvested>
        </investors>
        <salesCommissionsFindersFees>
            <salesCommissions>
                <dollarAmount>10000</dollarAmount>
                <isEstimate>true</isEstimate>
            </salesCommissions>
            <findersFees>
                <dollarAmount>0</dollarAmount>
            </findersFees>
            <clarificationOfResponse></clarificationOfResponse>
        </salesCommissionsFindersFees>
        <useOfProceeds>
            <grossProceedsUsed>
                <dollarAmount>10000</dollarAmount>
                <isEstimate>true</isEstimate>
            </grossProceedsUsed>
            <clarificationOfResponse>Certain persons named in Item 3 or affiliates thereof may receive payments deemed to be made from the proceeds of the offering, including management and placement fees.</clarificationOfResponse>
        </useOfProceeds>
        <signatureBlock>
            <authorizedRepresentative>false</authorizedRepresentative>
            <signature>
                <issuerName>ACCORD GP CO-INVESTMENT OPPORTUNITY III, L.P.</issuerName>
                <signatureName>/s/Desidero G. Co</signatureName>
                <nameOfSigner>Desidero G. Co</nameOfSigner>
                <signatureTitle>Managing Member of AGCIO I GP LLC, Issuer's GP</signatureTitle>
                <signatureDate>2019-03-26</signatureDate>
            </signature>
        </signatureBlock>
    </offeringData>
</edgarSubmission>
