| 2. Round | 18/08/1979 | Servette FC | - | Neuchâtel Xamax FC | 6:0 |  |
|||
| 3. Round | 25/08/1979 | FC Basel 1893 | - | Servette FC | 0:1 | |
|||
| 4. Round | 29/08/1979 | CS Chênois | - | Servette FC | 2:2 | ||||
| 5. Round | 01/09/1979 | Servette FC | - | FC St. Gallen | 4:1 | |
|||
| 6. Round | 08/09/1979 | Grasshopper Club Zürich | - | Servette FC | 2:1 | ||||
| 7. Round | 15/09/1979 | Servette FC | - | FC Zürich | 0:4 | ||||
| 8. Round | 22/09/1979 | FC Chiasso | - | Servette FC | 0:0 | ||||
| 9. Round | 06/10/1979 | Servette FC | - | FC Lugano | 8:0 | ||||
| 10. Round | 20/10/1979 | BSC Young Boys | - | Servette FC | 1:2 | ||||
| 13. Round | 25/11/1979 | Servette FC | - | FC Sion | 2:3 | ||||
| 14. Round | 02/12/1979 | Servette FC | - | FC La Chaux-de-Fonds | 4:0 | ||||
| 18. Round | 22/03/1980 | Servette FC | - | Grasshopper Club Zürich | 4:2 | |
|||
| 19. Round | 29/03/1980 | FC Zürich | - | Servette FC | 1:3 | ||||
| 24. Round | 10/05/1980 | Servette FC | - | Lausanne Sports | 3:1 | |
|||
| 25. Round | 17/05/1980 | Servette FC | - | CS Chênois | 4:1 | |
|||
| 26. Round | 20/05/1980 | FC Sion | - | Servette FC | 1:1 | |
Netherlands