| Rangers (Glasgow) FC v Morton FC 23/02/1980 | View match | |
| Morton FC v Celtic (Glasgow) FC 01/03/1980 | £4.00 | |
| Kilmarnock FC v Morton FC 12/03/1980 | View match | |
| Morton FC v St Mirren FC 15/03/1980 | View match | |
| Aberdeen FC v Morton FC 22/03/1980 | View match | |
| Morton FC v Dundee 29/03/1980 | View match | |
| Partick Thistle FC v Morton FC 02/04/1980 | View match | |
| Kilmarnock FC v Morton FC 05/04/1980 | View match | |
| Dundee United FC v Morton FC 12/04/1980 | View match | |
| Morton FC v Rangers (Glasgow) FC 19/04/1980 | View match | |
| Dundee United FC v Morton FC 23/04/1980 | View match | |
| Morton FC v Hibernian FC 26/04/1980 | View match |