| 14. Round | 27/02/1960 | Grazer AK | - | Admira Wien | 2:0 | ||||
| 15. Round | 06/03/1960 | Admira Wien | - | Wiener Sport-Club | 2:2 | ||||
| 16. Round | 13/03/1960 | First Vienna FC | - | Admira Wien | 4:0 | ||||
| 17. Round | 20/03/1960 | Admira Wien | - | Wacker Wien | 0:0 | ||||
| 18. Round | 02/04/1960 | Linzer ASK | - | Admira Wien | 3:0 | ||||
| 19. Round | 09/04/1960 | Admira Wien | - | 1. Simmeringer SC | 2:2 | ||||
| 20. Round | 24/04/1960 | Kremser SC | - | Admira Wien | 2:0 | ||||
| 21. Round | 08/05/1960 | Admira Wien | - | Wiener AC | 1:4 | ||||
| 22. Round | 15/05/1960 | WSV Donawitz | - | Admira Wien | 2:1 | ||||
| 23. Round | 21/05/1960 | 1. Wiener Neustädter SC (old) | - | Admira Wien | 2:1 | ||||
| 24. Round | 04/06/1960 | Admira Wien | - | Austria Wien | 2:1 | ||||
| 25. Round | 11/06/1960 | SV Austria Salzburg | - | Admira Wien | 2:2 | ||||
| 26. Round | 18/06/1960 | Admira Wien | - | Rapid Wien | 2:3 |
Austria