EXHIBIT 32.1

                            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 Quarterly Report of QLT Inc. (the "COMPANY") on
Form 10-Q for the period ended September 30, 2004 as filed with the Securities
and Exchange Commission on the date hereof (the "FORM 10-Q"), I, Paul J.
Hastings, Chief Executive 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:

      (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: November 5, 2004

                                          /s/ Paul J. Hastings
                                          --------------------------------------
                                          Paul J. Hastings
                                          President  & Chief Executive Officer
                                          QLT Inc.

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