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Exhibit 32.1

CERTIFICATION OF CO-CHIEF EXECUTIVE OFFICER

 PURSUANT TO 18 U.S.C. SECTION 1350,

 AS ADOPTED PURSUANT TO

 SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

I, Michael A. Reisner, Co-Chief Executive Officer and Co-President of ICON Oil & Gas GP, LLC, the Managing General Partner of the Registrant, in connection with the Quarterly Report of ICON Oil & Gas Fund-A L.P. (the “LP”) on Form 10-Q for the quarter ended March 31, 2013, as filed with the Securities and Exchange Commission on the date hereof (the “Quarterly Report”), certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

1.  The Quarterly Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2.   The information contained in the Quarterly Report fairly presents, in all material respects, the financial condition and results of operations of the LP.

Date: May 10, 2013

/s/ Michael A. Reisner

Michael A. Reisner

Co-Chief Executive Officer and Co-President

ICON Oil & Gas GP, LLC

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