| Brechin City FC v Morton FC 17/09/1955 | View match | |
| Stranraer v Morton FC 21/09/1955 | View match | |
| Morton FC v Ayr United FC 24/09/1955 | View match | |
| Morton FC v Cowdenbeath FC 28/09/1955 | View match | |
| Morton FC v Hamilton Academicals 08/10/1955 | View match | |
| Montrose FC v Morton FC 29/10/1955 | View match | |
| Morton FC v Third Lanark 05/11/1955 | View match | |
| East Stirlingshire FC v Morton FC 12/11/1955 | View match | |
| Morton FC v St Johnstone FC 19/11/1955 | View match | |
| Dumbarton v Morton FC 26/11/1955 | View match | |
| Morton FC v Forfar Athletic FC 03/12/1955 | View match | |
| Dundee United FC v Morton FC 10/12/1955 | View match |