| 7. Round | 17/09/1983 | BSC Young Boys | - | Grasshopper Club Zürich | 2:3 | ||||
| 8. Round | 24/09/1983 | Grasshopper Club Zürich | - | FC Aarau | 4:1 | ||||
| 9. Round | 01/10/1983 | Vevey Sports | - | Grasshopper Club Zürich | 3:1 | ||||
| 10. Round | 04/10/1983 | Grasshopper Club Zürich | - | FC Chiasso | 2:0 | ||||
| 11. Round | 22/10/1983 | Grasshopper Club Zürich | - | FC La Chaux-de-Fonds | 4:1 | ||||
| 12. Round | 30/10/1983 | FC Basel 1893 | - | Grasshopper Club Zürich | 0:0 | ||||
| 13. Round | 12/11/1983 | Grasshopper Club Zürich | - | Servette FC | 0:3 | ||||
| 14. Round | 19/11/1983 | Grasshopper Club Zürich | - | FC Sion | 2:2 | ||||
| 20. Round | 24/03/1984 | FC La Chaux-de-Fonds | - | Grasshopper Club Zürich | 0:1 | ||||
| 23. Round | 14/04/1984 | FC Aarau | - | Grasshopper Club Zürich | 0:1 | ||||
| 26. Round | 12/05/1984 | Grasshopper Club Zürich | - | FC Luzern | 3:0 | ||||
| 28. Round | 19/05/1984 | Grasshopper Club Zürich | - | AC Bellinzona | 1:0 |  |
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| 29. Round | 02/06/1984 | FC St. Gallen | - | Grasshopper Club Zürich | 1:1 | ||||
| 30. Round | 06/06/1984 | Grasshopper Club Zürich | - | FC Wettingen | 3:1 | |
Switzerland