Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We hereby consent to the incorporation by reference in the Registration Statements on Form S-8 (File Nos. 333-30516, 333-01299, 333-22169, 333-56287, 333-113455, 333-125108, 333-141112 and 333-159194) of Parametric Technology Corporation of our report dated November 24, 2009 relating to the consolidated financial statements and the effectiveness of internal control over financial reporting, which appears in this Form 10-K.

/s/ PricewaterhouseCoopers LLP

Boston, Massachusetts

November 24, 2009