| Celtic (Glasgow) FC v Third Lanark 29/10/1938 | View match | |
| Arbroath FC v Third Lanark 05/11/1938 | View match | |
| St Johnstone FC v Third Lanark 12/11/1938 | View match | |
| Third Lanark v Falkirk FC 19/11/1938 | View match | |
| Motherwell FC v Third Lanark 26/11/1938 | View match | |
| Third Lanark v Partick Thistle FC 03/12/1938 | View match | |
| Hibernian FC v Third Lanark 10/12/1938 | View match | |
| Third Lanark v Ayr United FC 17/12/1938 | View match | |
| Raith Rovers FC v Third Lanark 24/12/1938 | View match | |
| Third Lanark v Hamilton Academicals 31/12/1938 | View match | |
| Queens Park FC v Third Lanark 02/01/1939 | View match | |
| Third Lanark v Clyde 03/01/1939 | View match |