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EXHIBIT 31.1

ARGENTEX MINING CORPORATION 
  OFFICER’S CERTIFICATE PURSUANT TO SECTION 302

I, Kenneth Hicks, the Principal Executive Officer of Argentex Mining Corporation,
  certify that:

|1. | I have reviewed this quarterly report on Form 10-QSB
        of Argentex Mining 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;                                                            
|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 small business issuer as of, and for, the periods
        presented in this report;                                                                    
|4. | The small business issuer's other certifying officer(s)
        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))
        and internal control over financial reporting (as defined in Exchange
        Act Rules 13a- 15(f) and 15d-15(f)) for the small business issuer and
        have:
|  

| | (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 small
        business issuer, including its consolidated subsidiaries, is made known
        to us by others within those entities, particularly during the period
        in which this report is being prepared;                                                  
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|
| | (b) | [Omitted pursuant to SEC Release No. 33-8238];                                                                                                                                                                                                                                                                                                                                                                                                                                     
|
| | (c) | Evaluated the effectiveness of the small business
        issuer'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                                                                                                                                                     
|
| | (d) | Disclosed in this report any change in the small
        business issuer's internal control over financial reporting that occurred
        during the small business issuer's most recent fiscal quarter (the small
        business issuer's fourth fiscal quarter in the case of an annual report)
        that has materially affected, or is reasonably likely to materially affect,
        the small business issuer's internal control over financial reporting;
        and
|

|5. | The small business issuer's other certifying officer(s)
        and I have disclosed, based on our most recent evaluation of internal
        control over financial reporting, to the small business issuer's auditors
        and the audit committee of the small business issuer'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 small business issuer'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 small business issuer's internal
      control over financial reporting.                                                                                                     

Date: June 14, 2005

/s/ KENNETH HICKS 
  Kenneth Hicks 
  Principal Executive Officer

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