| Brentford FC v Newport County 31/12/1983 | £5.00 | |
| Plymouth Argyle FC v Newport County 06/01/1984 | View match | |
| Newport County v Plymouth Argyle FC 08/01/1984 | View match | |
| Bristol Rovers FC v Newport County 14/01/1984 | View match | |
| Newport County v Walsall FC 22/01/1984 | View match | |
| Newport County v Rotherham United FC 04/02/1984 | View match | |
| Scunthorpe United FC v Newport County 10/02/1984 | View match | |
| Newport County v Millwall FC 14/02/1984 | View match | |
| Port Vale FC v Newport County 18/02/1984 | View match | |
| Newport County v Exeter City FC 25/02/1984 | View match | |
| Newport County v Bristol Rovers FC 28/02/1984 | View match | |
| Lincoln City FC v Newport County 03/03/1984 | View match |