| St Mirren FC v Morton FC 27/10/1984 | View match | |
| Morton FC v Celtic (Glasgow) FC 03/11/1984 | View match | |
| Aberdeen FC v Morton FC 10/11/1984 | View match | |
| Dundee United FC v Morton FC 17/11/1984 | View match | |
| Morton FC v Rangers (Glasgow) FC 24/11/1984 | View match | |
| Morton FC v Hibernian FC 01/12/1984 | View match | |
| Dundee v Morton FC 08/12/1984 | View match | |
| Dundee v Morton FC 08/12/1984 | View match | |
| Morton FC v Dumbarton 15/12/1984 | View match | |
| Heart Of Midlothian (Hearts) v Morton FC 29/12/1984 | View match | |
| Morton FC v St Mirren FC 01/01/1985 | View match | |
| Aberdeen FC v Morton FC 12/01/1985 | View match |