3. Round | 13/09/1959 | SV Austria Salzburg | - | Rapid Wien | 1:6 | ||||
4. Round | 20/09/1959 | WSV Donawitz | - | Rapid Wien | 0:2 | ||||
5. Round | 26/09/1959 | Rapid Wien | - | Grazer AK | 4:2 | ||||
6. Round | 04/10/1959 | Wiener Sport-Club | - | Rapid Wien | 2:2 | ||||
10. Round | 31/10/1959 | Rapid Wien | - | Linzer ASK | 5:1 | ||||
12. Round | 14/11/1959 | Rapid Wien | - | Kremser SC | 7:1 |