| 6. Round | 21/09/2003 | Heart of Midlothian | - | Rangers FC | 0:4 | ||||
| 8. Round | 04/10/2003 | Rangers FC | - | Celtic FC | 0:1 | ||||
| 9. Round | 19/10/2003 | Motherwell FC | - | Rangers FC | 1:1 | ||||
| 10. Round | 25/10/2003 | Livingston FC | - | Rangers FC | 0:0 | ||||
| 11. Round | 01/11/2003 | Rangers FC | - | Partick Thistle | 3:1 | ||||
| 12. Round | 09/11/2003 | Kilmarnock FC | - | Rangers FC | 2:3 | ||||
| 13. Round | 22/11/2003 | Rangers FC | - | Aberdeen FC | 3:0 | ||||
| 14. Round | 30/11/2003 | Hibernian FC | - | Rangers FC | 0:1 | ||||
| 16. Round | 14/12/2003 | Dunfermline Athletic | - | Rangers FC | 2:0 | ||||
| 17. Round | 20/12/2003 | Rangers FC | - | Heart of Midlothian | 2:1 | ||||
| 23. Round | 11/02/2004 | Rangers FC | - | Kilmarnock FC | 2:0 |
Norway