| Morton FC v Hamilton Academicals 29/09/1962 | View match | |
| Dumbarton v Morton FC 06/10/1962 | View match | |
| Morton FC v East Stirlingshire FC 13/10/1962 | View match | |
| Cowdenbeath FC v Morton FC 20/10/1962 | View match | |
| Morton FC v Forfar Athletic FC 27/10/1962 | View match | |
| Chelsea FC v Morton FC 29/10/1962 | View match | |
| Stranraer v Morton FC 03/11/1962 | View match | |
| Morton FC v Albion Rovers FC 10/11/1962 | View match | |
| Brechin City FC v Morton FC 17/11/1962 | View match | |
| Morton FC v Chelsea FC 19/11/1962 | View match | |
| Morton FC v Berwick Rangers FC 24/11/1962 | View match | |
| Queens Park FC v Morton FC 01/12/1962 | View match |