| 5. Round | 12/09/2004 | Heart of Midlothian | - | Rangers FC | 0:0 | ||||
| 6. Round | 19/09/2004 | Dunfermline Athletic | - | Heart of Midlothian | 1:0 | ||||
| 13. Round | 07/11/2004 | Aberdeen FC | - | Heart of Midlothian | 0:1 | ||||
| 20. Round | 26/12/2004 | Heart of Midlothian | - | Celtic FC | 0:2 |  |
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| 21. Round | 02/01/2005 | Hibernian FC | - | Heart of Midlothian | 1:1 | ||||
| 22. Round | 15/01/2005 | Heart of Midlothian | - | Dundee United | 3:2 | ||||
| 23. Round | 22/01/2005 | Dundee FC | - | Heart of Midlothian | 1:1 | ||||
| 19. Round | 25/01/2005 | Livingston FC | - | Heart of Midlothian | 1:2 | ||||
| 24. Round | 29/01/2005 | Heart of Midlothian | - | Aberdeen FC | 1:0 | ||||
| 27. Round | 02/03/2005 | Heart of Midlothian | - | Rangers FC | 1:2 | ||||
| 28. Round | 05/03/2005 | Dunfermline Athletic | - | Heart of Midlothian | 1:1 | ||||
| 30. Round | 19/03/2005 | Heart of Midlothian | - | Livingston FC | 3:1 | |
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| 31. Round | 02/04/2005 | Celtic FC | - | Heart of Midlothian | 0:2 | |
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| 32. Round | 13/04/2005 | Heart of Midlothian | - | Hibernian FC | 1:2 | |
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| 33. Round | 16/04/2005 | Dundee United | - | Heart of Midlothian | 2:1 |
Scotland