| 4. Round | 28/09/1958 | Kapfenberger SV | - | Linzer ASK | 0:4 | ||||
| 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 |  |
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| 14. Round | 11/03/1959 | Kapfenberger SV | - | Wacker Wien | 2:5 | |
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| 16. Round | 15/03/1959 | Kapfenberger SV | - | Grazer AK | 4:1 | ||||
| 15. Round | 18/03/1959 | Rapid Wien | - | Kapfenberger SV | 9:2 | |
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| 17. Round | 22/03/1959 | Linzer ASK | - | Kapfenberger SV | 3:2 | ||||
| 18. Round | 05/04/1959 | Kapfenberger SV | - | 1. Simmeringer SC | 0:0 | ||||
| 19. Round | 12/04/1959 | Austria Wien | - | Kapfenberger SV | 2:0 | ||||
| 20. Round | 19/04/1959 | Kapfenberger SV | - | ÖMV Olympia | 0:0 |
Austria