| Third Lanark v Dundee 21/03/1959 | View match | |
| Dundee v Partick Thistle FC 28/03/1959 | View match | |
| Hibernian FC v Dundee 04/04/1959 | View match | |
| Dundee v Dunfermline Athletic 13/04/1959 | View match | |
| Airdrieonians (Old) v Dundee 18/04/1959 | View match | |
| Motherwell FC v Dundee 08/08/1959 | View match | |
| Dundee v Hibernian FC 12/08/1959 | View match | |
| Rangers (Glasgow) FC v Dundee 15/08/1959 | View match | |
| Dundee v Heart Of Midlothian (Hearts) 19/08/1959 | View match | |
| Dundee v Motherwell FC 22/08/1959 | View match | |
| Hibernian FC v Dundee 26/08/1959 | View match | |
| Dundee v Rangers (Glasgow) FC 29/08/1959 | View match |