19. Round | 11/04/1959 | Rapid Wien | - | Wiener Sport-Club | 2:3 | ||||
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 |