| Lincoln City FC v Exeter City FC 21/12/1963 | View match | |
| Brighton & Hove Albion FC v Exeter City FC 26/12/1963 | £4.00 | |
| Brighton & Hove Albion FC v Exeter City FC 26/12/1963 | £6.99 | |
| Exeter City FC v Brighton & Hove Albion FC 28/12/1963 | £8.00 | |
| Exeter City FC v Workington 04/01/1964 | View match | |
| Exeter City FC v Gillingham FC 11/01/1964 | View match | |
| Southport v Exeter City FC 18/01/1964 | View match | |
| Bradford Park Avenue v Exeter City FC 25/01/1964 | View match | |
| Doncaster Rovers FC v Exeter City FC 01/02/1964 | View match | |
| Exeter City FC v Hartlepool United 08/02/1964 | View match | |
| Darlington FC v Exeter City FC 15/02/1964 | View match | |
| Exeter City FC v Chester City FC 22/02/1964 | View match |