| Morton FC v Dundee United FC 14/12/1974 | View match | |
| Ayr United FC v Morton FC 21/12/1974 | View match | |
| Morton FC v Arbroath FC 28/12/1974 | View match | |
| Durham v Morton FC 01/01/1975 | View match | |
| Morton FC v Airdrie United FC 04/01/1975 | View match | |
| Morton FC v Airdrieonians (Old) 04/01/1975 | View match | |
| Partick Thistle FC v Morton FC 11/01/1975 | View match | |
| Morton FC v Rangers (Glasgow) FC 01/02/1975 | View match | |
| St Johnstone FC v Morton FC 08/02/1975 | View match | |
| Watford FC v Morton FC 14/02/1975 | View match | |
| Clyde v Morton FC 18/02/1975 | View match | |
| Morton FC v Dundee 22/02/1975 | View match |