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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-05-14</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000826326</issuerCik>
        <issuerName>ARC Group Worldwide, Inc.</issuerName>
        <issuerTradingSymbol>ARCW</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001724462</rptOwnerCik>
            <rptOwnerName>Knaley Brian</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ARC GROUP WORLDWIDE, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>810 FLIGHTLINE BLVD.</rptOwnerStreet2>
            <rptOwnerCity>DELAND</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>32724</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Options (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>2.35</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-05-14</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>29250</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2025-05-14</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>117000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>29250</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Twenty-five percent (25%) of the Stock Options granted shall vest upon the date of grant and each anniversary of the date of grant until the Stock Options have vested in full. The Options shall expire on May 14, 2025 the seventh anniversary of the date of grant. As of the date of grant on May 14, 2018, 29,250 options for shares of common stock were fully vested and exercisable.</footnote>
        <footnote id="F2">On May 14, 2018 Mr. Knaley was granted 117,000 shares of incentive stock options where twenty-five percent (25%) of the Stock Options granted shall vest upon the date of grant and each anniversary of the date of grant until the Stock Options have vested in full. The Options shall expire on May 14, 2025 the seventh anniversary of the date of grant. As of May 14, 2018, the date of grant, 29,250 options for shares of common stock were fully vested and exercisable.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Brian Knaley</signatureName>
        <signatureDate>2018-05-23</signatureDate>
    </ownerSignature>
</ownershipDocument>
