| Falkirk FC v Morton FC 03/01/1972 | View match | |
| Morton FC v Celtic (Glasgow) FC 08/01/1972 | View match | |
| Partick Thistle FC v Morton FC 15/01/1972 | View match | |
| Morton FC v East Fife FC 22/01/1972 | View match | |
| Dundee United FC v Morton FC 29/01/1972 | View match | |
| Aberdeen FC v Morton FC 19/02/1972 | View match | |
| St Johnstone FC v Morton FC 04/03/1972 | View match | |
| Morton FC v Dundee 11/03/1972 | View match | |
| Morton FC v Heart Of Midlothian (Hearts) 21/03/1972 | View match | |
| Rangers (Glasgow) FC v Morton FC 25/03/1972 | View match | |
| Morton FC v Motherwell FC 05/04/1972 | View match | |
| Morton FC v Clyde 12/04/1972 | View match |