EXHIBIT 32a.

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

Pursuant to 18 U.S.C. Section 1350, I, James M. Cornelius, hereby certify that, to the best of my knowledge, Bristol-Myers Squibb Company’s Quarterly Report on Form 10-Q for the quarter ended September 30, 2009 (the Report), as filed with the Securities and Exchange Commission on October 22, 2009, fully complies with the requirements of Section 13(a) or Section 15(d) of the Securities Exchange Act of 1934, as amended, and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of Bristol-Myers Squibb Company.

/s/ James M. Cornelius

James M. Cornelius

Chief Executive Officer

October 22, 2009

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