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 |