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 Quarterly Report of The Williams
Companies, Inc. (the "Company") on Form 10-Q for the period ending September 30,
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
November 6, 2003


/s/ Donald R. Chappel
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Donald R. Chappel
Chief Financial Officer
November 6, 2003




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.