EXHIBIT 32.1

            CERTIFICATION BY THE CHIEF EXECUTIVE OFFICER 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 QLT Inc., or the Company, on Form 10-K
for the period ended December 31, 2006 as filed with the Securities and Exchange
Commission on the date hereof, or the Form 10-K, I, Robert L. Butchofsky,
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 Form 10-K fully complies with the requirements of Section 13(a)
            or 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m(a) or
            78o(d)); and

      (2)   The information contained in the Form 10-K fairly presents, in all
            material respects, the financial condition and results of operations
            of the Company.

Dated: February 28, 2007

                                   /s/ Robert L. Butchofsky
                                   -----------------------------------
                                   Robert L. Butchofsky
                                   President and Chief Executive Officer
                                   (Principal Executive Officer)
                                   QLT Inc.