| 4. Round | 28/09/1958 | Admira Wien | - | Wacker Wien | 1:3 | ||||
| 19. Round | 12/04/1959 | Grazer AK | - | Admira Wien | 1:0 | ||||
| 20. Round | 18/04/1959 | Admira Wien | - | Linzer ASK | 1:4 | ||||
| 21. Round | 26/04/1959 | 1. Simmeringer SC | - | Admira Wien | 1:1 | ||||
| 22. Round | 03/05/1959 | Admira Wien | - | Austria Wien | 3:3 | ||||
| 23. Round | 09/05/1959 | ÖMV Olympia | - | Admira Wien | 0:4 | ||||
| 24. Round | 31/05/1959 | Admira Wien | - | Kapfenberger SV | 2:1 | ||||
| 25. Round | 06/06/1959 | First Vienna FC | - | Admira Wien | 4:1 | ||||
| 26. Round | 20/06/1959 | Admira Wien | - | Wiener AC | 2:3 |
Austria