| Dumbarton v Morton FC 13/02/1960 | View match | |
| Forfar Athletic FC v Dumbarton 27/02/1960 | View match | |
| Dumbarton v Albion Rovers FC 12/03/1960 | View match | |
| Dumbarton v Falkirk FC 19/03/1960 | View match | |
| Montrose FC v Dumbarton 26/03/1960 | View match | |
| Queen Of The South FC v Dumbarton 06/04/1960 | View match | |
| Dumbarton v East Fife FC 13/04/1960 | View match | |
| East Stirlingshire FC v Dumbarton 16/04/1960 | View match | |
| Cowdenbeath FC v Dumbarton 23/04/1960 | View match | |
| Dumbarton v Hamilton Academicals 30/04/1960 | View match | |
| Berwick Rangers FC v Dumbarton 13/08/1960 | View match | |
| Dumbarton v Alloa Athletic FC 17/08/1960 | View match |