| Hibernian FC v Kilmarnock FC 04/09/1937 | View match | |
| Heart Of Midlothian (Hearts) v Hibernian FC 11/09/1937 | View match | |
| Rangers (Glasgow) FC v Hibernian FC 15/09/1937 | View match | |
| Hibernian FC v Clyde 18/09/1937 | View match | |
| Queen Of The South FC v Hibernian FC 25/09/1937 | View match | |
| Hibernian FC v Morton FC 02/10/1937 | View match | |
| Aberdeen FC v Hibernian FC 09/10/1937 | View match | |
| Hibernian FC v Arbroath FC 16/10/1937 | View match | |
| Third Lanark v Hibernian FC 23/10/1937 | View match | |
| Hibernian FC v Motherwell FC 30/10/1937 | View match | |
| Hibernian FC v Ayr United FC 06/11/1937 | View match | |
| St Johnstone FC v Hibernian FC 13/11/1937 | View match |