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Exhibit 31.1

CERTIFICATION OF PRINCIPAL EXECUTIVE OFFICER PURSUANT TO SECTION 302 OF THESARBANES-OXLEY ACT OF 2002

I, Christopher Ian Dyakowski, certify that:

|1. | I have reviewed this quarterly report on Form 10-QSB of Argentex Mining
      Corporation, Inc.;                                                                                                                                                                                                                                                                      
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|2. | Based on my knowledge, this quarterly 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 quarterly report;        
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|3. | Based on my knowledge, the financial statements,
        and other financial information included in this quarterly report, fairly
        present in all material respects the financial condition, results of operations
        and cash flows of the registrant as of, and for, the periods presented
        in this quarterly report;                           
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|4. | The registrant's other certifying officers 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 controls over financial reporting (as defined in Exchange
        Act Rules 13a-15(f) and 15d-15(f)) for the registrant 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 registrant,
        including its consolidated subsidiaries, is made known to us by others
        within those entities, particularly during the period in which this quarterly
        report is being prepared;
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| | b) | Designed such internal control over financial reporting,
        or caused such internal control over financial reporting to be designed
        under our supervision, to provide reasonable assurance regarding the reliability
        of financial reporting and the preparation of financial statements for
        external purposes in accordance with general accepted accounting principles;                           
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| | c) | evaluated the effectiveness of the registrant'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;                                                                                                                         
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| | d) | disclosed in this report any change in the registrant's
        internal control over financial reporting that occurred during the registrant's
        most recent fiscal quarter that has materially affected, or is reasonably
        likely to materially affect, the registrant's internal control over financial
        reporting; and                                                                                  

|5. | The registrant's other certifying officers and I
        have disclosed, based on our most recent evaluation of internal control
        over financial reporting, to the registrant's auditors and the audit committee
        of registrant's board of directors (or persons performing the equivalent
        function):
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| | a) | all significant deficiencies and material weaknesses
        in the design or operation of internal controls over financial reporting
        which are reasonably likely to adversely affect the registrant's ability
        to record, process, summarize and report financial data; 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 registrant's internal
        controls over financial reporting.                                                                                                

|Dated:    September  13, 2004 | By:     
      /s/CHRISTOPHER IAN DYAKOWSKI        
|----------------------------- | ---------------------------------------------------
|                             
|                              | Christopher Ian Dyakowski                          
|                              | Chief Executive Officer and Chief Financial Officer

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