EXHIBIT 32.2

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 June 30, 2004, as filed with the Securities and
Exchange Commission on the date hereof (the "Report"), I,
Stephen B. Thompson, Chief Financial Officer certify pursuant
to 18 U.S.C. 1350, as adopted pursuant to Section 906 of the
Sarbanes Oxley Act of 2002, that (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 16th
day of August, 2004.


/s/ Stephen B. Thompson
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Stephen B. Thompson
Chief Financial Officer