| 3. Round | 21/09/1958 | Kremser SC | - | Admira Wien | 3:2 | ||||
| 5. Round | 11/10/1958 | Rapid Wien | - | Admira Wien | 5:2 | ||||
| 6. Round | 18/10/1958 | Admira Wien | - | Grazer AK | 3:4 | ||||
| 7. Round | 26/10/1958 | Linzer ASK | - | Admira Wien | 1:3 | ||||
| 8. Round | 02/11/1958 | Admira Wien | - | 1. Simmeringer SC | 0:1 | ||||
| 9. Round | 09/11/1958 | Austria Wien | - | Admira Wien | 5:3 | ||||
| 14. Round | 01/03/1959 | WSV Donawitz | - | Admira Wien | 2:3 | ||||
| 15. Round | 11/03/1959 | Wiener Sport-Club | - | Admira Wien | 6:2 | ||||
| 16. Round | 15/03/1959 | Admira Wien | - | Kremser SC | 2:5 | ||||
| 17. Round | 21/03/1959 | Wacker Wien | - | Admira Wien | 0:3 | ||||
| 18. Round | 05/04/1959 | Admira Wien | - | Rapid Wien | 0:3 | ||||
| 19. Round | 12/04/1959 | Grazer AK | - | Admira Wien | 1:0 |
Austria