| Queens Park FC v Morton FC 19/08/1905 | View match | |
| Morton FC v Airdrieonians (Old) 26/08/1905 | View match | |
| Dundee v Morton FC 02/09/1905 | View match | |
| Kilmarnock FC v Morton FC 09/09/1905 | View match | |
| Morton FC v Third Lanark 16/09/1905 | View match | |
| Morton FC v Port Glasgow Athletic 23/09/1905 | View match | |
| Hibernian FC v Morton FC 30/09/1905 | View match | |
| Partick Thistle FC v Morton FC 07/10/1905 | View match | |
| Morton FC v Motherwell FC 14/10/1905 | View match | |
| Morton FC v Falkirk FC 21/10/1905 | View match | |
| St Mirren FC v Morton FC 28/10/1905 | View match | |
| Aberdeen FC v Morton FC 04/11/1905 | View match |