| Morton FC v Queens Park FC 15/04/1963 | View match | |
| Stenhousemuir FC v Morton FC 17/04/1963 | View match | |
| Alloa Athletic FC v Morton FC 20/04/1963 | View match | |
| St Johnstone FC v Morton FC 24/04/1963 | View match | |
| Arbroath FC v Morton FC 27/04/1963 | View match | |
| East Stirlingshire FC v Morton FC 04/05/1963 | View match | |
| Morton FC v Cowdenbeath FC 11/05/1963 | View match | |
| Forfar Athletic FC v Morton FC 15/05/1963 | View match | |
| Ayr United FC v Morton FC 10/08/1963 | View match | |
| Morton FC v Stranraer 14/08/1963 | View match | |
| Morton FC v Clyde 17/08/1963 | View match | |
| Stranraer v Morton FC 21/08/1963 | View match |