| Hibernian FC v Aberdeen FC 27/10/1979 | View match | |
| Dundee v Hibernian FC 03/11/1979 | View match | |
| Hibernian FC v Kilmarnock FC 10/11/1979 | View match | |
| Celtic (Glasgow) FC v Hibernian FC 17/11/1979 | View match | |
| St Mirren FC v Hibernian FC 24/11/1979 | View match | |
| Hibernian FC v Partick Thistle FC 01/12/1979 | View match | |
| Hibernian FC v Leicester City FC 10/12/1979 | View match | |
| Morton FC v Hibernian FC 15/12/1979 | View match | |
| Hibernian FC v Rangers (Glasgow) FC 22/12/1979 | View match | |
| Kilmarnock FC v Hibernian FC 05/01/1980 | View match | |
| Hibernian FC v Celtic (Glasgow) FC 12/01/1980 | View match | |
| Meadowbank Thistle v Hibernian FC 26/01/1980 | View match |