Exhbit 32.1, Annual Report on Form 10-K
for the year ended December 31, 2003
Commission File Number 1-3671

CERTIFICATION BY CEO 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 General Dynamics Corporation (the Company) on Form 10-K for the year ended December 31, 2003, as filed with the Securities and Exchange Commission on the date hereof (the Report), I, Nicholas D. Chabraja, Chairman and Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:

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/ Nicholas D. Chabraja
Nicholas D. Chabraja
Chairman and Chief Executive Officer

March 5, 2004

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