Ownership Submission
FORM 4
Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
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(Print or Type Responses)
1. Name and Address of Reporting Person *
MOSES CORNELIUS F III
   2. Issuer Name and Ticker or Trading Symbol
PARAMETRIC TECHNOLOGY CORP [PMTC] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
Chief Financial Officer, EVP
(Last)
(First)
(Middle)
C/O PARAMETRIC TECHNOLOGY CORPORATION, 140 KENDRICK STREET		 3. Date of Earliest Transaction (Month/Day/Year)
05/13/2009
(Street)

NEEDHAM, MA 02494		 4. If Amendment, Date Original Filed(Month/Day/Year)
 6. Individual or Joint/Group Filing(Check Applicable Line)
_X_ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)		 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code
(Instr. 8)		 4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)		 5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)		 6. Ownership Form: Direct (D) or Indirect (I)
(Instr. 4)		 7. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V Amount (A) or (D) Price

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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 3)		 2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (Month/Day/Year) 3A. Deemed Execution Date, if any (Month/Day/Year) 4. Transaction Code
(Instr. 8)		 5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)		 6. Date Exercisable and Expiration Date
(Month/Day/Year)		 7. Title and Amount of Underlying Securities
(Instr. 3 and 4)		 8. Price of Derivative Security
(Instr. 5)		 9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 4)		 10. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 4)		 11. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares
Restricted Stock Units (1) 05/13/2009   A   116,301     (2)   (2) Common Stock 116,301 $ 0 116,301 D  
Restricted Stock Units (1) 05/13/2009   A   116,301     (3)   (3) Common Stock 116,301 $ 0 116,301 D  
Restricted Stock Units (1) 05/13/2009   A   41,235     (4)   (4) Common Stock 41,235 $ 0 41,235 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
MOSES CORNELIUS F III
C/O PARAMETRIC TECHNOLOGY CORPORATION
140 KENDRICK STREET
NEEDHAM, MA 02494		       Chief Financial Officer, EVP  

Signatures

 Catherine Gorecki by power of attorney filed 11/2/2007   05/14/2009
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1) Each restricted stock unit represents a contingent right to receive one share of Parametric Technology Corporation common stock.
(2) 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 latter of November 15, 2009 or the date the Compensation Committee determines the performance criteria have been achieved, (ii) November 15, 2010 and (iii) November 15, 2011.
(3) Time-based restricted stock units that vest in three substantially equal increments on each of November 15, 2009, November 15, 2010, and November 15, 2011.
(4) Restricted stock units granted under the Company's Executive Incentive Plan for the second half of 2009. The restricted stock units will vest only to the extent the established performance criteria are met. The restricted stock units finally earned will vest on the later of November 15, 2009 or the date the Compensation Committee determines the extent to which the performance criteria have been achieved.

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