Exhibit   32

Certification Pursuant to 18 U.S.C. Section 1350, as Adopted
Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

        Pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, the undersigned officer of Hibernia Corporation (the “Company”) certifies that to his knowledge:

1. The Quarterly Report on Form 10-Q of the Company for the quarter ended September 30, 2004 (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.

Date:  November 3, 2004	/s/ J. Herbert Boydstun
	J. Herbert Boydstun
	President and Chief Executive Officer

Certification Pursuant to 18 U.S.C. Section 1350, as Adopted
Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

        Pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, the undersigned officer of Hibernia Corporation (the “Company”) certifies that to her knowledge:

1. The Quarterly Report on Form 10-Q of the Company for the quarter ended September 30, 2004 (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.

Date:  November 3, 2004	/s/Marsha M. Gassan
	Marsha M. Gassan
	Senior Executive Vice President
	and Chief Financial Officer