EXHIBIT 32

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

         In connection with the Annual Report of The Williams Companies, Inc.
(the "Company") on Form 10-K for the period ending December 31, 2003 as filed
with the Securities and Exchange Commission on the date hereof (the "Report"),
each of the undersigned hereby certifies, in his capacity as an officer of the
Company, pursuant to 18 U.S.C. Section 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.


/s/ Steven J. Malcolm
- -------------------------
Steven J. Malcolm
Chief Executive Officer
March 15, 2004


/s/ Donald R. Chappel
- -------------------------
Donald R. Chappel
Chief Financial Officer
March 15, 2004


A signed original 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.

The foregoing certification is being furnished to the Securities and Exchange
Commission as an exhibit to the Report and shall not be considered filed as part
of the Report.