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 Quarterly Report of QLT Inc., or the Company, on
Form 10-Q for the period ended March 31, 2006 as filed with the Securities and
Exchange Commission on the date hereof, or Form 10-Q, 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-Q 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-Q fairly presents, in all
            material respects, the financial condition and results of operations
            of the Company.

Dated: May 9, 2006

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

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