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

    <schemaVersion>X0304</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2011-08-02</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001378718</issuerCik>
        <issuerName>Wesco Aircraft Holdings, Inc</issuerName>
        <issuerTradingSymbol>WAIR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001525849</rptOwnerCik>
            <rptOwnerName>Lee Tommy Marvin</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WESCO AIRCRAFT HOLDINGS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>27727 AVENUE SCOTT</rptOwnerStreet2>
            <rptOwnerCity>VALENCIA</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>91355</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Exec. VP</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2011-08-02</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>76074</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>14.1375</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>821972</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By the Lee Living Trust</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2011-08-03</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3600</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3600</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Includes 818,749 fully vested restricted stock units. The shares of Wesco Aircraft Holdings, Inc.'s (the &quot;Company&quot;) common stock, par value $0.001 per share (&quot;Common Stock&quot;), underlying the restricted stock units will not be distributed to the reporting person until September 28, 2012, or, if earlier, upon a change of control of the Company.</footnote>
        <footnote id="F2">Represents 3,600 shares of the Company's Common Stock awarded pursuant to the Wesco Aircraft Holdings, Inc. 2011 Equity Incentive Award Plan. 1,800 of these shares will vest in three equal installments on September 30, 2012, 2013 and 2014. The vesting of the remaining 1,800 shares is subject to the Company's achievement of certain financial performance objectives during the year ended September 30, 2012. If these performance objectives are not achieved, these 1,800 shares will be forfeited. If these performance objectives are achieved, the 1,800 shares will also vest in three equal installments on September 30, 2012, 2013 and 2014.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Gregory A. Hann, as Attorney-in-Fact</signatureName>
        <signatureDate>2011-08-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
