EXHIBIT 32.1

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

The certification set forth below is hereby made solely for the
purpose of satisfying the requirements of Section 906 of the
Sarbanes-Oxley Act of 2002 and may not be relied upon or used
for any other purposes.

In connection with the Quarterly Report of Access
Pharmaceuticals, Inc. (the "Company") on Form 10-Q for the
period ended March 31, 2005, as filed with the Securities and
Exchange Commission on the date hereof (the "Report"), I, Kerry
P. Gray, President and Chief Executive Officer certify pursuant
to 18 U.S.C. 1350, as adopted pursuant to Section 906 of the
Sarbanes Oxley Act of 2002, that to my knowledge (1) 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
the Company.

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 the Company and will be retained by the
Company and furnished to the Securities and Exchange Commission
or its staff upon request.

Signed at the City of  Dallas, in the State of Texas, this 10th
day of May, 2005.

/s/ Kerry P. Gray
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Kerry P. Gray
President and Chief Executive Officer