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 and 333-141112) of Parametric Technology Corporation of our report dated November 26, 2008 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 26, 2008