| Morton FC v Clydebank FC (Old) 29/02/1984 | View match | |
| Raith Rovers FC v Morton FC 03/03/1984 | View match | |
| Clyde v Morton FC 17/03/1984 | View match | |
| Morton FC v Hamilton Academicals 20/03/1984 | View match | |
| Morton FC v Airdrie United FC 24/03/1984 | View match | |
| Ayr United FC v Morton FC 31/03/1984 | View match | |
| Brechin City FC v Morton FC 07/04/1984 | View match | |
| Morton FC v Dumbarton 14/04/1984 | View match | |
| Falkirk FC v Morton FC 21/04/1984 | View match | |
| Clydebank FC (Old) v Morton FC 28/04/1984 | View match | |
| Morton FC v Alloa Athletic FC 05/05/1984 | View match | |
| Morton FC v Kilmarnock FC 12/05/1984 | View match |