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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2012-12-18</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001408075</issuerCik>
        <issuerName>GRAPHIC PACKAGING HOLDING CO</issuerName>
        <issuerTradingSymbol>GPK</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001495741</rptOwnerCik>
            <rptOwnerName>TPG Group Holdings (SBS) Advisors, Inc.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O TPG GLOBAL, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>301 COMMERCE STREET, SUITE 3300</rptOwnerStreet2>
            <rptOwnerCity>FORT WORTH</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>76102</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000860866</rptOwnerCik>
            <rptOwnerName>BONDERMAN DAVID</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O TPG GLOBAL, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>301 COMMERCE STREET, SUITE 3300</rptOwnerStreet2>
            <rptOwnerCity>FORT WORTH</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>76102</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001099776</rptOwnerCik>
            <rptOwnerName>COULTER JAMES G</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O TPG GLOBAL, LLC</rptOwnerStreet1>
            <rptOwnerStreet2>301 COMMERCE STREET, SUITE 3300</rptOwnerStreet2>
            <rptOwnerCity>FORT WORTH</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>76102</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2012-12-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>9354779</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>5.7981</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>122804096</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Explanation of Responses</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2012-12-18</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>28542316</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.10</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>94261780</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Explanation of Responses</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2012-12-20</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1403216</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>5.7981</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>92858564</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Explanation of Responses</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">The price represents the public offering price of $6.10 per share less the underwriters' discount of $0.3019 per share.</footnote>
        <footnote id="F2">David Bonderman and James G. Coulter are directors, officers and shareholders of TPG Group Holdings (SBS) Advisors, Inc., a Delaware corporation (&quot;Group Advisors&quot; and, together with Messrs. Bonderman and Coulter, the &quot;Reporting Persons&quot;), which is the general partner of TPG Group Holdings (SBS), L.P., a Delaware limited partnership, which is the sole member of TPG Holdings I-A, LLC, a Delaware limited liability company, which is the general partner of TPG Holdings I, L.P., a Delaware limited partnership, which is the sole member of TPG Holdings I-A, LLC, a Delaware limited liability company, which is the general partner of TPG Holdings, I L.P., a Delaware limited partnership, which is the sole member of each of (i) TPG GenPar IV Advisors LLC, a Delaware limited liability company (&quot;TPG Advisors IV&quot;), and (ii) TPG GenPar V Advisors, LLC a Delaware limited liability company (&quot;TPG Advisors V&quot;).</footnote>
        <footnote id="F3">TPG Advisors IV is the general of TPG GenPar IV, L.P., a Delaware limited partnership, which is the general partner of each of TPG Bluegrass IV - AIV 1, L.P., a Delaware limited partnership (&quot;TPG IV-AIV 1&quot;), and TPG Bluegrass IV - AIV 2, L.P., a Delaware limited partnership (&quot;TPG IV-AIV 2&quot;).  TPG Advisors V is the general partner of TPG GenPar V, L.P., a Delaware limited partnership, which is the general partner of each of TPG Bluegrass V - AIV 1, L.P., a Delaware limited partnership (&quot;TPG V-AIV 1&quot;), TPG Bluegrass V - AIV 2 L.P., a Delaware limited partnership (&quot;TPG V-AIV 2&quot;), TPG FOF V-A, L.P., a Delaware limited partnership (&quot;TPG FOF V-A&quot;), and TPG FOF V-B, L.P., a Delaware limited partnership (&quot;TPG FOF V-B&quot; and, together with TPG IV-AIV 1, TPG IV-AIV 2, TPG V-AIV 1, TPG V-AIV 2, and TPG FOF V-A, the &quot;TPG Funds&quot;).  The TPG Funds hold the shares of Class A Common Stock of Graphic Packaging Holding Company reported herein (the &quot;Shares&quot;).</footnote>
        <footnote id="F4">Because of the Reporting Persons' respective relationships to the TPG Funds, the Reporting Persons may be deemed to beneficially own the Shares to the extent of the greater of their respective direct or indirect pecuniary interests in the profits or capital accounts of the TPG Funds.  Each Reporting Person disclaims beneficial ownership of the Shares, except to the extent of such Reporting Person's pecuniary interest therein, if any.</footnote>
        <footnote id="F5">Pursuant to Rule 16a-1(a)(4) under the Securities Exchange Act of 1934, as amended (the &quot;Exchange Act&quot;), this filing shall not be deemed an admission that the Reporting Persons are, for purposes of Section 16 of the Exchange Act or otherwise, the beneficial owners of any Shares beneficially owned in excess of their respective pecuniary interests.</footnote>
    </footnotes>

    <remarks>(6)  The Reporting Persons are jointly filing this Form 4 pursuant to Rule 16a-3(j) under the Exchange Act.

(7)  Ronald Cami is signing on behalf of both Messrs. Bonderman and Coulter pursuant to authorization and designation letters dated July 1, 2010, which were previously filed with the Securities and Exchange Commission.</remarks>

    <ownerSignature>
        <signatureName>Ronald Cami, on behalf of David Bonderman (6) (7)</signatureName>
        <signatureDate>2012-12-20</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Ronald Cami, on behalf of James G. Coulter (6) (7)</signatureName>
        <signatureDate>2012-12-20</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Ronald Cami, Vice President, TPG Group Holdings (SBS) Advisors, Inc. (6)</signatureName>
        <signatureDate>2012-12-20</signatureDate>
    </ownerSignature>
</ownershipDocument>
