| 1. Ronde | 12.08.1978 | FC Sion | - | Grasshopper Club Zürich | 2:4 | ||||
| 2. Ronde | 19.08.1978 | Grasshopper Club Zürich | - | FC Zürich | 2:1 | ||||
| 3. Ronde | 23.08.1978 | Grasshopper Club Zürich | - | Servette FC | 0:0 | ||||
| 4. Ronde | 26.08.1978 | Lausanne Sports | - | Grasshopper Club Zürich | 2:0 | ||||
| 5. Ronde | 02.09.1978 | Grasshopper Club Zürich | - | FC Nordstern Basel | 3:1 | ||||
| 6. Ronde | 09.09.1978 | BSC Young Boys | - | Grasshopper Club Zürich | 2:0 | ||||
| 11. Ronde | 21.10.1978 | FC Chiasso | - | Grasshopper Club Zürich | 1:1 | ||||
| 12. Ronde | 28.10.1978 | Grasshopper Club Zürich | - | FC Sion | 2:1 | ||||
| 13. Ronde | 05.11.1978 | FC Zürich | - | Grasshopper Club Zürich | 1:1 | ||||
| 14. Ronde | 19.11.1978 | Grasshopper Club Zürich | - | Lausanne Sports | 3:0 | ||||
| 15. Ronde | 26.11.1978 | FC Nordstern Basel | - | Grasshopper Club Zürich | 1:1 | ||||
| 16. Ronde | 03.12.1978 | Grasshopper Club Zürich | - | BSC Young Boys | 2:2 |
Zwitserland