| 2. Round | 15/08/1998 | Aberdeen FC | - | Celtic FC | 3:2 | ||||
| 3. Round | 21/08/1998 | Celtic FC | - | Dundee United | 2:1 | ||||
| 5. Round | 11/09/1998 | Celtic FC | - | Kilmarnock FC | 1:1 | ||||
| 6. Round | 19/09/1998 | Rangers FC | - | Celtic FC | 0:0 | ||||
| 8. Round | 25/09/1998 | Celtic FC | - | Heart of Midlothian | 1:1 | ||||
| 9. Round | 02/10/1998 | Motherwell FC | - | Celtic FC | 1:2 | ||||
| 10. Round | 16/10/1998 | Dunfermline Athletic | - | Celtic FC | 2:2 |
Denmark