Pegasystems (PEGA) 10-Q 2004 Q1 Quarterly report

Exhibit 32.1

CERTIFICATION PURSUANT TO SECTION 1350, AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report of Pegasystems Inc. (the Company) on Form 10-Q for the quarter ended March 31, 2004 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Alan Trefler, the Chairman and Chief Executive Officer of Pegasystems Inc., certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1) The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

(2) The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

/s/ Alan Trefler

Chairman and Chief Executive Officer

(principal executive officer)

Dated: April 28, 2004

A signed original of this written statement required by Section 906 has been provided to Pegasystems Inc. and will be retained by Pegasystems Inc. and furnished to the Securities and Exchange Commission or its staff upon request.