| Dumbarton v Morton FC 24/02/1962 | View match | |
| Morton FC v Alloa Athletic FC 10/03/1962 | View match | |
| Forfar Athletic FC v Morton FC 24/03/1962 | View match | |
| Cowdenbeath FC v Morton FC 31/03/1962 | View match | |
| Morton FC v Montrose FC 07/04/1962 | View match | |
| Albion Rovers FC v Morton FC 13/04/1962 | View match | |
| Morton FC v Queens Park FC 16/04/1962 | View match | |
| Berwick Rangers FC v Morton FC 21/04/1962 | View match | |
| Morton FC v East Fife FC 25/04/1962 | View match | |
| Brechin City FC v Morton FC 28/04/1962 | View match | |
| Morton FC v Arbroath FC 11/08/1962 | View match | |
| Alloa Athletic FC v Morton FC 15/08/1962 | View match |