| Hibernian FC v Motherwell FC 15/08/1959 | View match | |
| Hibernian FC v Aberdeen FC 19/08/1959 | View match | |
| Rangers (Glasgow) FC v Hibernian FC 22/08/1959 | View match | |
| Hibernian FC v Dundee 26/08/1959 | View match | |
| Motherwell FC v Hibernian FC 29/08/1959 | View match | |
| Heart Of Midlothian (Hearts) v Hibernian FC 05/09/1959 | View match | |
| Hibernian FC v Rangers (Glasgow) FC 12/09/1959 | View match | |
| Third Lanark v Hibernian FC 19/09/1959 | View match | |
| Hibernian FC v Kilmarnock FC 26/09/1959 | View match | |
| Clyde v Hibernian FC 03/10/1959 | View match | |
| Hibernian FC v Motherwell FC 10/10/1959 | View match | |
| Hibernian FC v Dunfermline Athletic 17/10/1959 | View match |