| 7. Round | 26/10/1958 | ÖMV Olympia | - | Kapfenberger SV | 2:1 | ||||
| 8. Round | 02/11/1958 | WSV Donawitz | - | Kapfenberger SV | 2:1 | ||||
| 9. Round | 09/11/1958 | Kapfenberger SV | - | First Vienna FC | 2:2 | ||||
| 10. Round | 22/11/1958 | Wiener AC | - | Kapfenberger SV | 4:0 | ||||
| 11. Round | 30/11/1958 | Kapfenberger SV | - | Admira Wien | 1:0 | ||||
| 12. Round | 07/12/1958 | Wiener Sport-Club | - | Kapfenberger SV | 11:0 | ||||
| 13. Round | 14/12/1958 | Kapfenberger SV | - | Kremser SC | 3:3 | ||||
| 14. Round | 11/03/1959 | Kapfenberger SV | - | Wacker Wien | 2:5 | ||||
| 18. Round | 05/04/1959 | Kapfenberger SV | - | 1. Simmeringer SC | 0:0 | ||||
| 23. Round | 10/05/1959 | Kapfenberger SV | - | Wiener AC | 0:2 | ||||
| 24. Round | 31/05/1959 | Admira Wien | - | Kapfenberger SV | 2:1 |  |
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| 25. Round | 07/06/1959 | Kapfenberger SV | - | Wiener Sport-Club | 2:2 | ||||
| 26. Round | 21/06/1959 | Kremser SC | - | Kapfenberger SV | 3:0 |
Austria