| 14. Round | 01/03/1959 | ÖMV Olympia | - | Rapid Wien | 0:3 | ||||
| 15. Round | 08/03/1959 | Grazer AK | - | ÖMV Olympia | 2:0 | ||||
| 16. Round | 15/03/1959 | ÖMV Olympia | - | Linzer ASK | 2:1 |  |
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| 17. Round | 22/03/1959 | 1. Simmeringer SC | - | ÖMV Olympia | 8:1 | ||||
| 19. Round | 12/04/1959 | ÖMV Olympia | - | WSV Donawitz | 2:5 | ||||
| 20. Round | 19/04/1959 | Kapfenberger SV | - | ÖMV Olympia | 0:0 | ||||
| 21. Round | 26/04/1959 | ÖMV Olympia | - | First Vienna FC | 1:3 | ||||
| 22. Round | 02/05/1959 | Wiener AC | - | ÖMV Olympia | 2:2 | ||||
| 23. Round | 09/05/1959 | ÖMV Olympia | - | Admira Wien | 0:4 | ||||
| 24. Round | 31/05/1959 | Wiener Sport-Club | - | ÖMV Olympia | 9:0 | ||||
| 25. Round | 07/06/1959 | ÖMV Olympia | - | Kremser SC | 2:2 | ||||
| 26. Round | 19/06/1959 | Wacker Wien | - | ÖMV Olympia | 3:1 |
Austria