CERTIFICATION PURSUANT TO
18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

The undersigned, Peter A. Ball, of Argentex Mining Corporation, hereby certifies, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1) the annual report on Form 20-F of Argentex Mining Corporation for the year ended January 31, 2012 (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

(2) the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of Argentex Mining Corporation.

Dated: May 10, 2012

/s/ Peter A. Ball

Peter A. Ball

President

(Principal Executive Officer)

A signed original of this written statement required by Section 906, or other document authenticating, acknowledging, or otherwise adopting the signature that appears in typed form within the electronic version of this written statement required by Section 906, has been provided to Argentex Mining Corporation and will be retained by Argentex Mining Corporation and furnished to the Securities and Exchange Commission or its staff upon request.