| 1. Round | 09/08/1977 | Sturm Graz | - | SSW Innsbruck | 1:3 | ||||
| 3. Round | 26/08/1977 | Admira/Wacker | - | SSW Innsbruck | 0:2 | ||||
| 4. Round | 30/08/1977 | SSW Innsbruck | - | Austria Wien | 1:1 | ||||
| 5. Round | 02/09/1977 | Linzer ASK | - | SSW Innsbruck | 2:1 | ||||
| 15. Round | 17/11/1977 | Grazer AK | - | SSW Innsbruck | 3:2 | ||||
| 16. Round | 29/11/1977 | SSW Innsbruck | - | First Vienna FC | 1:0 | ||||
| 17. Round | 02/12/1977 | SSW Innsbruck | - | Rapid Wien | 2:0 | ||||
| 23. Round | 03/02/1978 | Linzer ASK | - | SSW Innsbruck | 1:1 | ||||
| 22. Round | 06/02/1978 | SSW Innsbruck | - | Austria Wien | 1:2 | ||||
| 27. Round | 03/03/1978 | SSW Innsbruck | - | SK VÖEST Linz | 1:1 | ||||
| 28. Round | 10/03/1978 | SSW Innsbruck | - | Sturm Graz | 4:1 | ||||
| 29. Round | 18/03/1978 | Wr. Sportclub/Post | - | SSW Innsbruck | 3:3 |
Austria