<SUBMISSION>
<ACCESSION-NUMBER>0000857005-09-000023
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20090501
<FILING-DATE>20090504
<DATE-OF-FILING-DATE-CHANGE>20090504
<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>
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>COHEN BARRY F
<CIK>0001185279
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>000-18059
<FILM-NUMBER>09792474
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>C/O PARAMETRIC TECHNOLOGY CORP
<STREET2>140 KENDRICK STREET
<CITY>NEEDHAM
<STATE>MA
<ZIP>02494
</MAIL-ADDRESS>
</REPORTING-OWNER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>cohenf4050109_ex.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2009-05-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001185279</rptOwnerCik>
            <rptOwnerName>COHEN BARRY F</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PARAMETRIC TECHNOLOGY CORP</rptOwnerStreet1>
            <rptOwnerStreet2>140 KENDRICK STREET</rptOwnerStreet2>
            <rptOwnerCity>NEEDHAM</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02494</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP Strategic Services</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2009-05-01</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>15000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>11.2134</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>141575</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">This transaction was executed in multiple trades at prices ranging from $11.08 to $11.375.  The price reported above reflects
 the weighted average sale price.  The reporting person hereby undertakes to provide upon request to the SEC staff, the
 issuer or a security holder of the issuer full information regarding the number of shares and prices at which the
 transaction was effected.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>Catherine Gorecki by power of attorney filed 11/2/2007</signatureName>
        <signatureDate>2009-05-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
