| Exeter City FC v Crewe Alexandra FC 07/10/1959 | View match | |
| Exeter City FC v Millwall FC 10/10/1959 | View match | |
| Crewe Alexandra FC v Exeter City FC 14/10/1959 | View match | |
| Southport v Exeter City FC 17/10/1959 | View match | |
| Exeter City FC v Gillingham FC 24/10/1959 | View match | |
| Barrow v Exeter City FC 31/10/1959 | View match | |
| Exeter City FC v Aldershot F.C 07/11/1959 | View match | |
| Exeter City FC v Barnstaple Town 14/11/1959 | View match | |
| Exeter City FC v Gateshead 21/11/1959 | View match | |
| Rochdale FC v Exeter City FC 28/11/1959 | View match | |
| Exeter City FC v Brentford FC 05/12/1959 | View match | |
| Doncaster Rovers FC v Exeter City FC 12/12/1959 | View match |