Air Transport Services (ATSG) 10-K 2005 FY Annual 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

In connection with the Annual Report of ABX Air, Inc. (the “Company”) on Form 10-K for the period ending December 31, 2005 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Joseph C. Hete, Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. 1350, as enacted by § 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.

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

/s/ JOSEPH C. HETE

Joseph C. Hete

Chief Executive Officer

Date: March 16, 2006