| Dundee v Hibernian FC 31/03/1984 | View match | |
| Hibernian FC v Dundee United FC 07/04/1984 | View match | |
| Hibernian FC v Heart Of Midlothian (Hearts) 21/04/1984 | View match | |
| Celtic (Glasgow) FC v Hibernian FC 28/04/1984 | View match | |
| Aberdeen FC v Hibernian FC 05/05/1984 | View match | |
| Hibernian FC v Rangers (Glasgow) FC 12/05/1984 | View match | |
| Hibernian FC v Manchester City FC 03/08/1984 | £8.50 | |
| Hibernian FC v Newcastle United FC 05/08/1984 | View match | |
| Hibernian FC v Celtic (Glasgow) FC 11/08/1984 | View match | |
| Dundee v Hibernian FC 18/08/1984 | View match | |
| Hibernian FC v East Fife FC 21/08/1984 | View match | |
| Hibernian FC v Heart Of Midlothian (Hearts) 25/08/1984 | View match |