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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-06-09</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001621227</issuerCik>
        <issuerName>Adaptimmune Therapeutics PLC</issuerName>
        <issuerTradingSymbol>ADAP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001553053</rptOwnerCik>
            <rptOwnerName>Alleva Lawrence M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ADAPTIMMUNE THERAPEUTICS PLC,</rptOwnerStreet1>
            <rptOwnerStreet2>60 JUBILEE AVE, MILTON PARK</rptOwnerStreet2>
            <rptOwnerCity>ABINGDON</rptOwnerCity>
            <rptOwnerState>X0</rptOwnerState>
            <rptOwnerZipCode>OX14 4RX</rptOwnerZipCode>
            <rptOwnerStateDescription>UNITED KINGDOM</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Shares with a nominal value of GBP0.001 per share</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2020-06-09</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>12900</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>1.89</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>12900</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Held by Trust</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Ordinary Shares with a nominal value of GBP0.001 per share</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>47280</value>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Held by Trust</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Ordinary Shares with a nominal value of GBP0.001 per share</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>70584</value>
                    <footnoteId id="F5"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The ordinary shares whose purchase is reported on this line are represented by American Depositary Shares (&quot;ADS&quot;) and are held in the form of ADSs by the Lawrence M. Alleva Revocable Trust. Each ADS represents six ordinary shares of Adaptimmune Therapeutics plc.</footnote>
        <footnote id="F2">The 12,900 ordinary shares reported in Column 4 and Column 5 are represented by 2,150 ADSs.</footnote>
        <footnote id="F3">The price reported in Column 4 of $1.89 per ordinary share is derived from the purchase price paid on June 9, 2020 of $11.354 per ADS divided by six.</footnote>
        <footnote id="F4">The 47,280 ordinary shares reported in Column 5 are represented by 7,880 ADSs. These shares are held in the form of ADSs by the Lawrence M. Alleva Revocable Trust.</footnote>
        <footnote id="F5">The 70,584 ordinary shares reported in Column 5 are represented by 11,764 ADSs. These shares are held in the form of ADSs by Mr. Alleva.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Lawrence M. Alleva</signatureName>
        <signatureDate>2020-06-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
