**EXHIBIT31.1**

CERTIFICATIONS

I, Jeffrey G. Clevenger, certify that:

1.       I have reviewed this quarterly report on Form 10-Q of ApexSilver Mines Limited;

2.       Based on my knowledge, this report does not contain any untruestatement of a material fact or omit to state a material fact necessary to makethe statements made, in light of the circumstances under which such statementswere made, not misleading with respect to the period covered by this report;

3.       Based on my knowledge, the financial statements, and otherfinancial information included in this report, fairly present in all materialrespects the financial condition, results of operations and cash flows of theregistrant as of, and for, the periods presented in this report;

4.       The registrant’s other certifying officer and I areresponsible for establishing and maintaining disclosure controls and procedures(as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal controlover financial reporting (as defined in Exchange Act Rules 13a-15(f) and15d-15(f)) for the registrant and have:

a.         Designed such disclosure controls andprocedures, or caused such disclosure controls and procedures to be designedunder our supervision, to ensure that material information relating to theregistrant, including its consolidated subsidiaries, is made known to us byothers within those entities, particularly during the period in which thisreport is being prepared;

b.         Designed such internal controls overfinancial reporting, or caused such internal control over financial reportingto be designed under our supervision, to provide reasonable assurance regardingthe reliability of financial reporting and the preparation of financialstatements for external purposes in accordance with generally acceptedaccounting principles;

c.         Evaluated the effectiveness of theregistrant’s disclosure controls and procedures and presented in this reportour conclusions about the effectiveness of the disclosure controls andprocedures, as of the end of the period covered by this report based on suchevaluation; and

d.         Disclosed in this report any change inthe registrant’s internal control over financial reporting that occurred duringthe registrant’s most recent fiscal quarter that has materially affected, or isreasonably likely to materially affect, the registrant’s internal control overfinancial reporting; and

5.     The registrant’s other certifying officers and I have disclosed,based on our most recent evaluation of internal control over financialreporting, to the registrant’s auditors and the audit committee of registrant’sboard of directors:

a.         All significant deficiencies and material weaknesses in thedesign or operation of internal controls over financial reporting which arereasonably likely to adversely affect the registrant’s ability to record,process, summarize and report financial information; and

b.         Any fraud, whether or not material, that involves managementor other employees who have a significant role in the registrant’s internalcontrol over financial reporting.

Date:  August 8, 2006
|   | \s\ Jeffrey G. Clevenger               |
|--------|----------------------------------------|
|   | Jeffrey G.  Clevenger                  |
|   | President and  Chief Executive Officer |

 

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