Hospira 10-K 2012 FY Annual report

Exhibit 32.2

Certification of Chief Financial Officer 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 Hospira, Inc. (the “Company”) on Form 10-K for the period ended December 31, 2012 as filed with the Securities and Exchange Commission (the “Report”), I, Thomas E. Werner, Senior Vice President, Finance and Chief Financial Officer of the Company, certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 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/ THOMAS E. WERNER

Thomas E. Werner

Senior Vice President, Finance and Chief Financial Officer

February 13, 2013