Exhibit 32

Written Statement of the Chief Executive Officer and the

Principal Financial Officer Pursuant to 18 U.S.C. Section 1350

Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, each of the undersigned certifies that to the best of our knowledge:

(1) the Quarterly Report on Form 10-Q of A. O. Smith Corporation for the quarter ended June 30, 2005 (the “Report”) fully complies with the requirements of Section 13(a) or Section 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 A. O. Smith Corporation.

Date: August 2, 2005

/s/ Robert J. O’Toole

Robert J. O’Toole

Chairman and Chief Executive Officer

/s/ John J. Kita

John J. Kita

Vice President, Treasurer and Controller