United Parcel Service (UPS) 10-Q 2012 Q2 Quarterly report

Exhibit 32.1

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO SECTION 906 OF THE

SARBANES-OXLEY ACT OF 2002

Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 and in connection with the Quarterly Report on Form 10-Q of United Parcel Service, Inc. (the “Corporation”) for the period ended June 30, 2012, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), the undersigned, the Senior Vice President, Chief Financial Officer and Treasurer of the Corporation, certifies 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 Corporation.

/S/    KURT P. KUEHN

Kurt P. Kuehn

Senior Vice President and

Chief Financial Officer

August 3, 2012