EXHIBIT 32.1
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                 CERTIFICATE PURSUANT TO 18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


                              TECK COMINCO LIMITED

In connection with the Annual Report of Teck Cominco Limited (the "Company") on
Form 40-F for the period ended December 31, 2004 (the "Report") to which this
certificate is an exhibit, I, David A. Thompson, Chief Executive Officer of the
Company, hereby 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.


Date:  April 1, 2005                             /s/  David A. Thompson
                                                 ------------------------------
                                                 David A. Thompson
                                                 Chief Executive Officer