| Dundee United FC v Dundee 02/01/1968 | View match | |
| Dundee v Kilmarnock FC 20/01/1968 | View match | |
| St Johnstone FC v Dundee 03/02/1968 | View match | |
| Dundee v Rangers (Glasgow) FC 10/02/1968 | View match | |
| Dundee v Rangers (Glasgow) FC 17/02/1968 | View match | |
| Dundee v Airdrieonians (Old) 02/03/1968 | View match | |
| Rangers (Glasgow) FC v Dundee 04/03/1968 | View match | |
| Stirling Albion FC v Dundee 06/03/1968 | View match | |
| Hibernian FC v Dundee 09/03/1968 | View match | |
| Motherwell FC v Dundee 13/03/1968 | View match | |
| Dunfermline Athletic v Dundee 16/03/1968 | View match | |
| Dundee v Clyde 23/03/1968 | View match |