Exhibit 10.2 CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 In connection with the Annual Report of Lorus Therapeutics Inc (the "Company") on Form 20-F for the year ended May 31, 2002 as filed with the Securities and Exchange Commission on the date hereof (the "Report"). I James T. Parsons, VP Finance and Administration and Chief Financial Officer, of the Company, certify, pursuant to 18 U.S.C. section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to the best of my knowledge: 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. By: /s/ James T. Parsons -------------------------------------------------- James T. Parsons, VP Finance and Administration and Chief Financial Officer Date: December 13, 2002 -----------------------------------