| 1. Round | 29/08/1959 | Admira Wien | - | Grazer AK | 1:2 | ||||
| 2. Round | 06/09/1959 | Grazer AK | - | 1. Wiener Neustädter SC (old) | 4:1 |  |
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| 3. Round | 12/09/1959 | Austria Wien | - | Grazer AK | 4:3 | ||||
| 4. Round | 19/09/1959 | Grazer AK | - | SV Austria Salzburg | 5:1 | |
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| 5. Round | 26/09/1959 | Rapid Wien | - | Grazer AK | 4:2 | ||||
| 10. Round | 31/10/1959 | Grazer AK | - | Wacker Wien | 3:1 | ||||
| 11. Round | 08/11/1959 | Linzer ASK | - | Grazer AK | 3:1 | ||||
| 12. Round | 14/11/1959 | Grazer AK | - | 1. Simmeringer SC | 1:2 | ||||
| 13. Round | 29/11/1959 | Kremser SC | - | Grazer AK | 1:1 | ||||
| 15. Round | 06/03/1960 | 1. Wiener Neustädter SC (old) | - | Grazer AK | 1:1 | ||||
| 17. Round | 20/03/1960 | SV Austria Salzburg | - | Grazer AK | 3:3 | ||||
| 24. Round | 04/06/1960 | 1. Simmeringer SC | - | Grazer AK | 5:2 | ||||
| 25. Round | 11/06/1960 | Grazer AK | - | Kremser SC | 2:0 |
Austria