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 McKesson Corporation (the “Company”) on Form 10-Q for the quarterly period ended June 30, 2012 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), the undersigned, in the capacities and on the dates indicated below, each hereby certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that to the best of their knowledge:

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/    John H. Hammergren

John H. Hammergren

Chairman of the Board, President and Chief Executive Officer

July 26, 2012

/s/    Jeffrey C. Campbell

Jeffrey C. Campbell

Executive Vice President and Chief Financial Officer

July 26, 2012

This certification accompanies the Report pursuant to § 906 of the Sarbanes-Oxley Act of 2002, and shall not, except to the extent required by the Sarbanes-Oxley Act of 2002, be deemed filed by the Company for the purposes of Section 18 of the Securities Exchange Act of 1934, as amended.

A signed original of this written statement required by Section 906 has been provided to McKesson Corporation and will be retained by the Company and furnished to the Securities and Exchange Commission or its staff upon request.