Exhibit 32.01

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

      I, Robert D. Walter, Chairman and Chief Executive Officer of Cardinal
Health, Inc. (the "Company"), certify, pursuant to 18 U.S.C. Section 1350, that:

(1)   the Quarterly Report on Form 10-Q for the fiscal quarter ended March 31,
      2005 containing the financial statements of the Company (the "Periodic
      Report"), which this statement accompanies, fully complies with the
      requirements of Section 13(a)* or 15(d) of the Securities Exchange Act of
      1934 (15 U.S.C. 78m or 78o(d)), and

(2)   the information contained in the Periodic Report fairly presents, in all
      material respects, the financial condition and results of operations of
      the Company.

*     Except to the extent that Exchange Act Rule 13a-15(a), if applicable to
      this certification, is ever deemed violated with respect to the matters
      described in "Part I, Item 4: Controls and Procedures" of the Periodic
      Report.

Dated: May 9, 2005

                       /s/ Robert D. Walter
                       ------------------------
                       Robert D. Walter
                       Chairman and
                       Chief Executive Officer