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**EXHIBIT      12.B**

**CERTIFICATION      OF CHIEF FINANCIAL OFFICER**

**PURSUANT      TO RULE 13a-14(a) under the Securities Exchange Act of      1934**

| 1.   | I                have reviewed this annual report on Form 20-F of Canadian Zinc                Corporation; |
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| 2.   | Based                on my knowledge, this report does not contain any untrue statement                of a                material fact or omit to state a material fact necessary to make                the                statements made, in light of the circumstances under which such statements                were made, not misleading with respect to the period covered by this                report; |
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| 3.   | Based                on my knowledge, the financial statements, and other financial information                included in this report, fairly present in all material respects                the                financial condition, results of operations and cash flows of the                Company                as of, and for, the periods presented in this                report.; |
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| 4.   | The                Company’s other certifying officer and I are responsible for establishing                and maintaining disclosure controls and procedures (as defined in                Exchange                Act Rules 13a-15(e) and 15d-15(e) [omitted pursuant to Transition                Period                provisions at Section III of Release 34-47986 of the Securities and                Exchange Commission entitled “Management’s Reports on Internal Control                over Financing Reporting and Certification of Disclosure in Exchange                Act                Periodic Reports”] for the Company and                have: |
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| (a)   | Designed                such disclosure controls and procedures, or caused such disclosure                controls and procedures to be designed under our supervision, to                ensure                that material information relating to the Company is made known to                us,                particularly during the period in which this report is being                prepared; |
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|   |  (b) | [Omitted                pursuant to Transition Period provisions at Section III of Release                34-47986 of the Securities and Exchange Commission entitled “Management’s                Reports on Internal Control over Financial Reporting and Certification                of                Disclosure in Exchange Act Periodic                Reports”]; |
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| (c)   | Evaluated                the effectiveness of the Company’s disclosure controls and procedures and                presented in this report our conclusions about the effectiveness                of the                disclosure controls and procedures, as of the end of the period covered                by                this report based on such evaluation; and |
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| (d)   | Disclosed                in this report any change in the company’s internal control over financial                reporting that occurred during the period covered by the annual report                that has materially affected, or is reasonably likely to materially                affect, the Company’s internal control over financial reporting;                and |
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| 5.   | The                Company’s other certifying officer and I have disclosed, based on our most                recent evaluation of internal control over financial reporting to                the                Company’s auditors and the audit committee of the Company’s board of                directors (or persons performing the equivalent                functions); |
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| (a)   | All                significant deficiencies and material weaknesses in the design or                operation of internal control over financial reporting which are                reasonably likely to adversely affect the Company’s ability to record,                process, summarize and report financial information;                and |
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| (b)   | Any                fraud, whether or not material, that involves management or other                employees who have a significant role in the Company’s internal control                over financial reporting. |
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*/s/Danesh      K. Varma*