| Celtic (Glasgow) FC v Third Lanark 20/04/1963 | View match | |
| Third Lanark v Aberdeen FC 24/04/1963 | View match | |
| Third Lanark v Partick Thistle FC 27/04/1963 | View match | |
| Dundee United FC v Third Lanark 29/04/1963 | View match | |
| Third Lanark v Dunfermline Athletic 03/05/1963 | View match | |
| Rangers (Glasgow) FC v Third Lanark 11/05/1963 | View match | |
| Dundee v Third Lanark 13/05/1963 | View match | |
| Third Lanark v Dundee 10/08/1963 | View match | |
| Dunfermline Athletic v Third Lanark 14/08/1963 | View match | |
| Airdrieonians (Old) v Third Lanark 17/08/1963 | View match | |
| Hibernian FC v Third Lanark 21/08/1963 | View match | |
| Dundee v Third Lanark 24/08/1963 | View match |