18. Round | 04/04/1959 | Wiener AC | - | Grazer AK | 4:2 | ||||
19. Round | 15/04/1959 | Linzer ASK | - | Wiener AC | 1:3 | ||||
20. Round | 22/04/1959 | Wiener AC | - | 1. Simmeringer SC | 1:2 | ||||
21. Round | 26/04/1959 | Austria Wien | - | Wiener AC | 1:3 | ||||
23. Round | 10/05/1959 | Kapfenberger SV | - | Wiener AC | 0:2 | ||||
24. Round | 31/05/1959 | Wiener AC | - | First Vienna FC | 1:2 | ||||
25. Round | 06/06/1959 | Wiener AC | - | WSV Donawitz | 1:2 | ||||
26. Round | 20/06/1959 | Admira Wien | - | Wiener AC | 2:3 |