Norzinc (NORZF) 20-F 2003 FY Annual report (foreign)

EXHIBIT 13.B

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the annual report on Form 20-F of Canadian Zinc Corporation for the year ended December 31, 2003, as filed with the Securities and Exchange Commission, I, Danesh K. Varma, Chief Financial Officer of Canadian Zinc Corporation 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 annual report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2.

The information contained in the annual report fairly presents, in all material respects, the financial condition and results of operations of the registrant.

Date: June 30, 2005

/s/ Danesh K. Varma

Chief Financial Officer