EXHIBIT 99.1

CERTIFICATION OF PERIODIC REPORT

I, Roger G. Stoll, Ph.D., Chairman, President and Chief Executive Officer of Cortex Pharmaceuticals, Inc. (the “Company”), certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, that:

(1)  the Annual Report on Form 10-K of the Company for the fiscal year ended June 30, 2002 (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m or 780(d)); and

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

/S/    ROGER G. STOLL, PH.D.

Roger G. Stoll, Ph.D.

Chairman, President and

Chief Executive Officer

Dated: October 11, 2002