EXHIBIT 32.01

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

This certification set forth below is hereby made solely for the purposes 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.

A signed original of this written statement required by Section 906 has been
provided to Access Pharmaceuticals, Inc. and will be retained by Access
Pharmaceuticals, Inc. and furnished to the SEC or its staff upon its request.

Pursuant to Section 906 of the Public Company Accounting Reform and Investor Act
of 2002 (18 U.S.C. 1350, as adopted, the "Sarbanes-Oxley Act"), Kerry P. Gray,
President and Chief Executive Officer of Access Pharmaceuticals, Inc. (the
"Company"), and Stephen B. Thompson, Vice President and Chief Financial Officer
of the Company, each hereby certifies that to his knowledge the Annual Report on
Form 10-K for the period ended December 31, 2004 of the Company filed with the
Securities and Exchange Commission on the date hereof (the "Report") fully
complies with the requirements of section 13(a) or 15(d) of the Securities
Exchange Act of 1934 and the information contained in the Report fairly
presents, in all material respects, the financial condition and results of
operations of the Company for the period specified.

Signed at the City of Dallas, in the State of Texas, this 31st day of March,
2005.

/s/ Kerry P. Gray                                 /s/ Stephen B. Thompson
- -----------------                                 -----------------------
Kerry P. Gray                                     Stephen B. Thompson
President and Chief Executive Officer             Chief Financial Officer