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EXHIBIT 31.1

CERTIFICATION PURSUANT TO18 U.S.C. ss 1350, AS
ADOPTED PURSUANT TOSECTION 302 OF THE SARBANES-OXLEY ACT OF 2002

I, Kenneth Hicks, certify that:

1.          
I have reviewed this annual report on Form 10-K of Argentex Mining Corporation;

2.          
Based on my knowledge, this annual 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 annual report;

3.          
Based on my knowledge, the financial statements, and other financial information
included in this annual 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 annual 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;

(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 generally accepted accounting principles;

(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;

5.          
The small business issuers other certifying officer (s) and I have disclosed,
based on my 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):

(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

(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: April 22, 2010

/s/ Kenneth HicksSignature:
Kenneth Hicks Title:         
President (Principal Executive Officer)

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