<SUBMISSION>
<ACCESSION-NUMBER>0001140361-09-024837
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20091103
<FILING-DATE>20091105
<DATE-OF-FILING-DATE-CHANGE>20091105
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>Shepherd Brian A
<CIK>0001458677
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>000-18059
<FILM-NUMBER>091159933
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>140 KENDRICK STREET
<CITY>NEEDHAM
<STATE>MA
<ZIP>02494
</MAIL-ADDRESS>
</REPORTING-OWNER>
<ISSUER>
<COMPANY-DATA>
<CONFORMED-NAME>PARAMETRIC TECHNOLOGY CORP
<CIK>0000857005
<ASSIGNED-SIC>7372
<IRS-NUMBER>042866152
<STATE-OF-INCORPORATION>MA
<FISCAL-YEAR-END>0930
</COMPANY-DATA>
<BUSINESS-ADDRESS>
<STREET1>140 KENDRICK STREET
<CITY>NEEDHAM
<STATE>MA
<ZIP>02494
<PHONE>7813705000
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>140 KENDRICK STREET
<CITY>NEEDHAM
<STATE>MA
<ZIP>02494
</MAIL-ADDRESS>
</ISSUER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 4
<TEXT>
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<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2009-11-03</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000857005</issuerCik>
        <issuerName>PARAMETRIC TECHNOLOGY CORP</issuerName>
        <issuerTradingSymbol>PMTC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001458677</rptOwnerCik>
            <rptOwnerName>Shepherd Brian A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>140 KENDRICK STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEEDHAM</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02494</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP Product Development</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2009-11-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>16447</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
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            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
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                <underlyingSecurityTitle>
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                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            </transactionTimeliness>
            <transactionAmounts>
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                    <value>16447</value>
                </transactionShares>
                <transactionPricePerShare>
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                </transactionAcquiredDisposedCode>
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            <expirationDate>
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                <underlyingSecurityTitle>
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                <underlyingSecurityShares>
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                </underlyingSecurityShares>
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                    <value>16447</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
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                <value>2009-11-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>9868</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
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            <exerciseDate>
                <footnoteId id="F4"/>
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            <expirationDate>
                <footnoteId id="F4"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>9868</value>
                </underlyingSecurityShares>
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                <sharesOwnedFollowingTransaction>
                    <value>9868</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each restricted stock unit represents a contingent right to receive one share of Parametric Technology Corporation common stock.</footnote>
        <footnote id="F2">Performance-based restricted stock units subject to subsequent time-based restrictions.  The restricted stock units will be earned only to the extent the established performance criteria are met.  The restricted stock units finally earned will vest as to one-third of such units on each of (i) the later of November 15, 2010 or the date the Compensation Committee determines the performance criteria have been achieved, (ii) November 15, 2011 and (iii) November 15, 2012.</footnote>
        <footnote id="F3">Time-based restricted stock units that vest in three substantially equal increments on each of November 15, 2010, November 15, 2011 and November 15, 2012.</footnote>
        <footnote id="F4">Performance-based restricted stock units that are earned only to the extent the established performance criteria are met.  Vesting of the restricted stock units finally earned will occur on the later of November 15, 2012 or the date the Compensation Committee determines whether the performance criteria have been achieved.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Catherine Gorecki by power of attorney filed 3/13/2009</signatureName>
        <signatureDate>2009-11-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
