| Hibernian FC v St Johnstone FC 10/02/1968 | View match | |
| Airdrieonians (Old) v Hibernian FC 17/02/1968 | View match | |
| Hibernian FC v Stirling Albion FC 02/03/1968 | View match | |
| Airdrieonians (Old) v Hibernian FC 06/03/1968 | View match | |
| Hibernian FC v Dundee 09/03/1968 | View match | |
| Aberdeen FC v Hibernian FC 16/03/1968 | View match | |
| Hibernian FC v Rangers (Glasgow) FC 23/03/1968 | View match | |
| Newcastle United FC v Hibernian FC 30/03/1968 | View match | |
| Clyde v Hibernian FC 06/04/1968 | View match | |
| Morton FC v Hibernian FC 10/04/1968 | View match | |
| Hibernian FC v Motherwell FC 13/04/1968 | View match | |
| Falkirk FC v Hibernian FC 20/04/1968 | View match |