UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM 6-K

                        REPORT OF FOREIGN PRIVATE ISSUER
                    PURSUANT TO SECTION 13a-16 15d-16 OF THE
                         SECURITIES EXCHANGE ACT OF 1934

                           For the month of March 2004

                        Commission File Number: 001-13184


                              TECK COMINCO LIMITED
             (Exact name of registrant as specified in its charter)


       Suite 600 - 200 Burrard Street, Vancouver, British Columbia V6C 3L9
                    (Address of principal executive offices)


         Indicate by check mark whether the registrant files or will file annual
reports under cover Form 20-F or Form 40-F.

                  Form 20-F     [_]             Form 40-F       [X]

         Indicate by check mark if the registrant is submitting the Form 6-K in
paper as permitted by Regulation S-T Rule 101(b)(1)._______

         Note: Regulation S-T Rule 101(b)(1) only permits the submission in
paper of a Form 6-K if submitted solely to provide an attached annual report to
security holders.

         Indicate by check mark if the registrant is submitting the Form 6-K in
paper as permitted by Regulation S-T Rule 101(b)(7):_______

         Note: Regulation S-T Rule 101(b)(7) only permits the submission in
paper of a Form 6-K if submitted to furnish a report or other document that the
registrant foreign private issuer must furnish and make public under the laws of
the jurisdiction in which the registrant is incorporated, domiciled or legally
organized (the registrant's "home country"), or under the rules of the home
country exchange on which the registrant's securities are traded, as long as the
report or other document is not a press release, is not required to be and has
not been distributed to the registrant's security holders, and, if discussing a
material event, has already been the subject of a Form 6-K submission or other
Commission filing on EDGAR.

         Indicate by check mark whether the registrant by furnishing the
information contained in this Form is also thereby furnishing the information to
the Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of
1934.

                  Yes           [_]             No              [X]

         If "Yes" is marked, indicate below the file number assigned to the
registrant in connection with Rule 12g3-2(b): 82-____________



                                    SIGNATURE

         Pursuant to the requirements of the Securities Exchange Act of 1934,
the registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorized.

                                   TECK COMINCO LIMITED
                                   (Registrant)



Date:    March 3, 2004             By:  /s/ KAREN L. DUNFEE
                                        ---------------------------------------
                                        Karen L. Dunfee
                                        Corporate Secretary




                                                               [GRAPHIC OMITTED]
                                                            [LOGO - TECKCOMINCO]
                        --------------------------------------------------------



                                                           EXTERNAL NEWS RELEASE
                                                                        04-09-TC

For Immediate Release:  March 2, 2004


                         TECK COMINCO LIMITED COMPLETES
                       HIGHLAND VALLEY COPPER ACQUISITION

Vancouver, B.C. -- Teck Cominco Limited announced today that it had completed
the previously announced acquisition of an additional 33.6% interest in Highland
Valley Copper from BHP Billiton subsidiary Rio Algom Limited. The transaction
increases Teck Cominco's ownership of Highland Valley to 97.5%.

Teck Cominco is a diversified mining company, headquartered in Vancouver, Canada
with assets totalling approximately $5 billion. Shares are listed on the Toronto
Stock Exchange under the symbols TEK.A and TEK.B. The company is a world leader
in the production of zinc and metallurgical coal and is also a major producer of
copper and gold. Further information can be found at WWW.TECKCOMINCO.COM.

                                     - 30 -

For additional information, please contact:

Tom Merinsky
Director, Investor Relations
(604) 685-3007



                              TECK COMINCO LIMITED
                   200 BURRARD STREET, VANCOUVER, B.C. V6C 3L9
        -TEL: (604) 687-1117 - FAX: (604) 687-6100 - www.teckcominco.com