| Group 1 | 19/04/1964 | Nacional | - | Club Aurora | 2:0 | ||||
| Group 1 | 27/04/1964 | Cerro Porteño | - | Nacional | 2:2 | ||||
| Group 1 | 03/05/1964 | Club Aurora | - | Nacional | 0:3 | ||||
| Group 1 | 10/05/1964 | Nacional | - | Cerro Porteño | 2:0 | ||||
| Semi-finals | 15/07/1964 | Colo-Colo | - | Nacional | 2:4 | ||||
| Semi-finals | 01/08/1964 | Nacional | - | Colo-Colo | 4:2 | ||||
| Final | 06/08/1964 | Nacional | - | Independiente | 0:0 | ||||
| Final | 12/08/1964 | Independiente | - | Nacional | 1:0 |
Uruguay