EXHIBIT 23.4
                                                                    ------------


                               CONSENT OF ENGINEER


         Reference is made to the Annual Report on Form 40-F for the year ended
December 31, 2004 (the "Annual Report") of Teck Cominco Limited (the "Company")
to be filed with the United States Securities and Exchange Commission pursuant
to the Securities Exchange Act of 1934, as amended.

         I hereby consent to references to my name under the heading
"Description of the Business -- Mineral Reserves and Resources" in the Company's
Annual Information Form and to all other references to my name included or
incorporated by reference in the Annual Report.


Sincerely,


/s/ Colin J. Mckenny
- -----------------------------
Name:   Colin J. McKenny
Title:  P. Geol.


Calgary, Canada
April 1, 2005