| Morton FC v East Fife FC 15/10/1960 | View match | |
| Berwick Rangers FC v Morton FC 22/10/1960 | View match | |
| Albion Rovers FC v Morton FC 29/10/1960 | View match | |
| Morton FC v Forfar Athletic FC 05/11/1960 | View match | |
| Queens Park FC v Morton FC 12/11/1960 | View match | |
| Morton FC v Hamilton Academicals 19/11/1960 | View match | |
| Arbroath FC v Morton FC 26/11/1960 | View match | |
| Cowdenbeath FC v Morton FC 03/12/1960 | View match | |
| Morton FC v Montrose FC 10/12/1960 | View match | |
| Morton FC v Alloa Athletic FC 17/12/1960 | View match | |
| Falkirk FC v Morton FC 24/12/1960 | View match | |
| Stranraer v Morton FC 31/12/1960 | View match |