| Queens Park FC v Morton FC 14/03/1964 | View match | |
| Morton FC v Bronshoj Boldklub 16/03/1964 | View match | |
| Morton FC v Arbroath FC 21/03/1964 | View match | |
| Morton FC v Alloa Athletic FC 28/03/1964 | View match | |
| Albion Rovers FC v Morton FC 04/04/1964 | View match | |
| Dumbarton v Morton FC 13/04/1964 | View match | |
| Cowdenbeath FC v Morton FC 18/04/1964 | View match | |
| Morton FC v Raith Rovers FC 24/04/1964 | View match | |
| Morton FC v Dumbarton 08/08/1964 | View match | |
| Ayr United FC v Morton FC 12/08/1964 | View match | |
| Berwick Rangers FC v Morton FC 15/08/1964 | View match | |
| Morton FC v Dundee 19/08/1964 | View match |