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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-08-29</periodOfReport>

    <issuer>
        <issuerCik>0001324592</issuerCik>
        <issuerName>Enterprise GP Holdings L.P.</issuerName>
        <issuerTradingSymbol>EPE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001303621</rptOwnerCik>
            <rptOwnerName>Moxley Joel D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2727 NORTH LOOP WEST</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77008</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Officer of Subsidiary</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Class B Limited Partner Interest in EPE Unit L.P.</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>28.00</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2005-08-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>40982.13</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2010-08-23</value>
            </exerciseDate>
            <expirationDate>
                <value>2010-08-23</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Units</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>40982.13</value>
                    <footnoteId id="F1"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>40982.13</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value></value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The limited partner interest entitles the reporting person to receive on August 23, 2010 an approximate number of Units equal to (i) the number of his derivative securities minus (ii) a number equal to (a) the number of his derivative securities multiplied by (b) the quotient of $28.00 divided by the market price (as defined) of the Units on August 23, 2010.  The limited partner interest is subject to forfeiture; it is also subject to increase if any other Class B limited partners leave the employment of EPCO, Inc., prior to August 23, 2010</footnote>
        <footnote id="F2">The power of attorney under which this form was signed is on file with the Commission.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>John E. Smith, Attorney in Fact, on behalf of Joel D. Moxley</signatureName>
        <signatureDate>2005-08-31</signatureDate>
    </ownerSignature>
</ownershipDocument>
