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 Annual Report on Form 10-K of the Company for the year ended December 31, 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.
| | -- | ----------------------------------------------------------------------------------------------------------------------------------------------------



|                     |  |  |  |  |  |                         |  |                                      
|-------------------- |  |  |  |  |  | ----------------------- |  | -------------------------------------
|                     |  |  | 
|Dated: March 2, 2005 |  |  |  |  |  | /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 Annual Report on Form 10-K of the Company for the year ended December 31, 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.
| | -- | ----------------------------------------------------------------------------------------------------------------------------------------------------



|                     |  |  |  |  |  |                      |  |                                                            
|-------------------- |  |  |  |  |  | -------------------- |  | -----------------------------------------------------------
|                     |  |  | 
|Dated: March 2, 2005 |  |  |  |  |  | /s/ Marsha M. Gassan
|                     |  |  |  |  |  |                      |  | Marsha M. Gassan                                           
|                     |  |  |  |  |  |                      |  | Senior Executive Vice President and Chief Financial Officer