| 3. Ronde | 21.09.1958 | Kremser SC | - | Admira Wien | 3:2 | ||||
| 5. Ronde | 11.10.1958 | Rapid Wien | - | Admira Wien | 5:2 | ||||
| 6. Ronde | 18.10.1958 | Admira Wien | - | Grazer AK | 3:4 | ||||
| 7. Ronde | 26.10.1958 | Linzer ASK | - | Admira Wien | 1:3 | ||||
| 8. Ronde | 02.11.1958 | Admira Wien | - | 1. Simmeringer SC | 0:1 | ||||
| 9. Ronde | 09.11.1958 | Austria Wien | - | Admira Wien | 5:3 | ||||
| 14. Ronde | 01.03.1959 | WSV Donawitz | - | Admira Wien | 2:3 | ||||
| 15. Ronde | 11.03.1959 | Wiener Sport-Club | - | Admira Wien | 6:2 | ||||
| 16. Ronde | 15.03.1959 | Admira Wien | - | Kremser SC | 2:5 | ||||
| 17. Ronde | 21.03.1959 | Wacker Wien | - | Admira Wien | 0:3 | ||||
| 18. Ronde | 05.04.1959 | Admira Wien | - | Rapid Wien | 0:3 | ||||
| 19. Ronde | 12.04.1959 | Grazer AK | - | Admira Wien | 1:0 |
Oostenrijk