EXHIBIT 32.1

                                CERTIFICATION OF
                             CHIEF EXECUTIVE OFFICER
                                   PURSUANT TO
                             18 U.S.C. SECTION 1350

I, Chang H. Ahn, Chief Executive Officer of Rexahn Pharmaceuticals, Inc.
(the "Company"), certify, pursuant to 18 U.S.C. Section 1350, as adopted by
Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1)      the Quarterly Report on Form 10-QSB of the Company for the quarter
         ended March 31, 2005 as filed on the date hereof with the Securities
         and Exchange Commission (the "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 Report fairly presents, in all
         material respects, the financial condition and results of operations
         of the Company.


Date: May 23, 2005


/s/ Chang H. Ahn
-------------------------
Chang H. Ahn
Chief Executive Officer