| Morton FC v Partick Thistle FC 05/10/1968 | View match | |
| Airdrieonians (Old) v Morton FC 12/10/1968 | View match | |
| St Mirren FC v Morton FC 19/10/1968 | View match | |
| Morton FC v Celtic (Glasgow) FC 26/10/1968 | View match | |
| Dunfermline Athletic v Morton FC 02/11/1968 | View match | |
| Morton FC v Aberdeen FC 09/11/1968 | View match | |
| Hibernian FC v Morton FC 16/11/1968 | View match | |
| Dundee United FC v Morton FC 23/11/1968 | View match | |
| Morton FC v Heart Of Midlothian (Hearts) 30/11/1968 | View match | |
| Morton FC v Dundee 07/12/1968 | View match | |
| Clyde v Morton FC 14/12/1968 | View match | |
| St Johnstone FC v Morton FC 21/12/1968 | View match |