| 2. Round | 07/09/1958 | Kapfenberger SV | - | Rapid Wien | 1:3 | ||||
| 7. Round | 26/10/1958 | Rapid Wien | - | Kremser SC | 3:1 |  |
|||
| 8. Round | 02/11/1958 | Wacker Wien | - | Rapid Wien | 1:5 | ||||
| 9. Round | 08/11/1958 | Rapid Wien | - | WSV Donawitz | 9:0 | ||||
| 10. Round | 23/11/1958 | Rapid Wien | - | Grazer AK | 2:1 | |
|||
| 11. Round | 30/11/1958 | Linzer ASK | - | Rapid Wien | 1:4 | ||||
| 12. Round | 07/12/1958 | Rapid Wien | - | 1. Simmeringer SC | 6:3 | ||||
| 13. Round | 13/12/1958 | Austria Wien | - | Rapid Wien | 1:4 | |
|||
| 14. Round | 01/03/1959 | ÖMV Olympia | - | Rapid Wien | 0:3 | ||||
| 18. Round | 05/04/1959 | Admira Wien | - | Rapid Wien | 0:3 | ||||
| 20. Round | 19/04/1959 | Kremser SC | - | Rapid Wien | 1:3 | ||||
| 21. Round | 25/04/1959 | Rapid Wien | - | Wacker Wien | 2:0 | ||||
| 22. Round | 03/05/1959 | WSV Donawitz | - | Rapid Wien | 1:6 | ||||
| 23. Round | 10/05/1959 | Grazer AK | - | Rapid Wien | 2:1 | ||||
| 24. Round | 30/05/1959 | Rapid Wien | - | Linzer ASK | 8:0 | ||||
| 25. Round | 06/06/1959 | 1. Simmeringer SC | - | Rapid Wien | 2:4 | ||||
| 26. Round | 20/06/1959 | Rapid Wien | - | Austria Wien | 2:1 |
Austria