| East Fife FC v Morton FC 20/10/1973 | View match | |
| Morton FC v Dunfermline Athletic 27/10/1973 | View match | |
| Morton FC v Aberdeen FC 03/11/1973 | View match | |
| Rangers (Glasgow) FC v Morton FC 10/11/1973 | View match | |
| Morton FC v Clyde 17/11/1973 | View match | |
| Motherwell FC v Morton FC 24/11/1973 | View match | |
| Morton FC v Dumbarton 15/12/1973 | View match | |
| Hibernian FC v Morton FC 22/12/1973 | View match | |
| Heart Of Midlothian (Hearts) v Morton FC 29/12/1973 | View match | |
| Morton FC v Ayr United FC 01/01/1974 | View match | |
| Partick Thistle FC v Morton FC 05/01/1974 | View match | |
| Arbroath FC v Morton FC 19/01/1974 | View match |