EXHIBIT (32)(i)

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 The Boeing Company (the “Company”) on Form 10-K for the period ending December 31, 2004, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Harry C. Stonecipher, President and Chief Executive 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 and Exchange Act of 1934, as amended; 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/    HARRY C. STONECIPHER

Harry C. Stonecipher

President and

Chief Executive Officer

February 25, 2005

EXHIBIT (32)(ii)

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 The Boeing Company (the “Company”) on Form 10-K for the period ending December 31, 2004, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, James A. Bell, Senior Vice President 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 and Exchange Act of 1934, as amended; 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/    JAMES A. BELL

James A. Bell

Executive Vice President and

Chief Financial Officer

February 25, 2005