| 2. Round | 15/07/1998 | BSC Young Boys | - | Grasshopper Club Zürich | 3:1 |  |
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| 1. Round | 18/07/1998 | Grasshopper Club Zürich | - | Lausanne Sports | 2:2 | ||||
| 3. Round | 25/07/1998 | Grasshopper Club Zürich | - | FC Lugano | 3:2 | |
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| 4. Round | 02/08/1998 | FC Sion | - | Grasshopper Club Zürich | 0:1 | ||||
| 5. Round | 05/08/1998 | Grasshopper Club Zürich | - | FC Aarau | 2:0 | ||||
| 6. Round | 16/08/1998 | FC Zürich | - | Grasshopper Club Zürich | 0:0 | ||||
| 8. Round | 29/08/1998 | FC Basel 1893 | - | Grasshopper Club Zürich | 1:1 |  |
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| 9. Round | 05/09/1998 | Grasshopper Club Zürich | - | Neuchâtel Xamax FC | 1:1 | ||||
| 10. Round | 11/09/1998 | FC St. Gallen | - | Grasshopper Club Zürich | 3:1 | ||||
| 11. Round | 19/09/1998 | Grasshopper Club Zürich | - | FC Luzern | 2:0 | ||||
| 12. Round | 25/09/1998 | Lausanne Sports | - | Grasshopper Club Zürich | 3:1 | ||||
| 18. Round | 13/11/1998 | Servette FC | - | Grasshopper Club Zürich | 2:0 | ||||
| 19. Round | 21/11/1998 | Grasshopper Club Zürich | - | FC Basel 1893 | 2:1 |
Congo DR