| 1. Round | 11/08/1977 | Admira/Wacker | - | Grazer AK | 1:1 | ||||
| 2. Round | 16/08/1977 | Grazer AK | - | Austria Wien | 0:3 | ||||
| 3. Round | 26/08/1977 | Linzer ASK | - | Grazer AK | 2:1 |  |
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| 4. Round | 30/08/1977 | Rapid Wien | - | Grazer AK | 1:1 | ||||
| 5. Round | 02/09/1977 | Grazer AK | - | First Vienna FC | 0:0 | ||||
| 6. Round | 06/09/1977 | SSW Innsbruck | - | Grazer AK | 2:0 | ||||
| 7. Round | 09/09/1977 | Grazer AK | - | SK VÖEST Linz | 1:1 | ||||
| 8. Round | 30/09/1977 | Sturm Graz | - | Grazer AK | 1:0 | ||||
| 9. Round | 04/10/1977 | Grazer AK | - | Wr. Sportclub/Post | 1:1 |  |
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| 10. Round | 14/10/1977 | Grazer AK | - | Admira/Wacker | 1:1 | |
Austria