| 1. Round | 04/08/2018 | Mansfield Town | - | Newport County | 3:0 | ||||
| 3. Round | 18/08/2018 | Exeter City | - | Newport County | 1:1 | ||||
| 4. Round | 21/08/2018 | Newport County | - | Notts County | 3:2 | ||||
| 6. Round | 01/09/2018 | Port Vale FC | - | Newport County | 1:2 | ||||
| 7. Round | 08/09/2018 | Oldham Athletic | - | Newport County | 0:1 | ||||
| 8. Round | 15/09/2018 | Newport County | - | Yeovil Town | 0:6 | ||||
| 17. Round | 03/11/2018 | Carlisle United | - | Newport County | 3:2 | ||||
| 26. Round | 01/01/2019 | Stevenage FC | - | Newport County | 1:0 | ||||
| 27. Round | 29/01/2019 | Newport County | - | Port Vale FC | 0:0 | ||||
| 31. Round | 02/02/2019 | Grimsby Town | - | Newport County | 3:0 | ||||
| 22. Round | 12/02/2019 | Newport County | - | Milton Keynes Dons | 0:1 | ||||
| 40. Round | 30/03/2019 | Yeovil Town | - | Newport County | 1:3 |  |
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| 41. Round | 06/04/2019 | Newport County | - | Tranmere Rovers | 0:0 | ||||
| 33. Round | 09/04/2019 | Newport County | - | Swindon Town | 0:0 | ||||
| 44. Round | 22/04/2019 | Macclesfield Town | - | Newport County | 0:0 | ||||
| 46. Round | 04/05/2019 | Morecambe FC | - | Newport County | 1:1 |
England