| 5. Round | 26/09/1959 | Admira Wien | - | Linzer ASK | 1:2 | ||||
| 6. Round | 03/10/1959 | 1. Simmeringer SC | - | Admira Wien | 0:2 | ||||
| 7. Round | 10/10/1959 | Rapid Wien | - | Admira Wien | 3:1 | ||||
| 8. Round | 18/10/1959 | Admira Wien | - | Kremser SC | 3:0 | ||||
| 9. Round | 25/10/1959 | Wiener AC | - | Admira Wien | 3:1 | ||||
| 10. Round | 31/10/1959 | Admira Wien | - | WSV Donawitz | 1:2 | ||||
| 11. Round | 08/11/1959 | Admira Wien | - | 1. Wiener Neustädter SC (old) | 4:4 | ||||
| 12. Round | 15/11/1959 | Austria Wien | - | Admira Wien | 7:0 | ||||
| 18. Round | 02/04/1960 | Linzer ASK | - | Admira Wien | 3:0 | ||||
| 25. Round | 11/06/1960 | SV Austria Salzburg | - | Admira Wien | 2:2 | ||||
| 26. Round | 18/06/1960 | Admira Wien | - | Rapid Wien | 2:3 |
Austria