| Newport County v Tottenham Hotspur FC 09/01/1960 | View match | |
| Newport County v Queens Park Rangers FC 16/01/1960 | View match | |
| Bradford City FC v Newport County 23/01/1960 | View match | |
| Bury FC v Newport County 30/01/1960 | £7.50 | |
| York City FC v Newport County 12/02/1960 | View match | |
| Newport County v Coventry City FC 15/02/1960 | View match | |
| Newport County v Swindon Town FC 20/02/1960 | View match | |
| Newport County v Shrewsbury Town FC 27/02/1960 | View match | |
| Newport County v Wrexham FC 29/02/1960 | View match | |
| Port Vale FC v Newport County 05/03/1960 | View match | |
| Newport County v Southampton FC 07/03/1960 | View match | |
| Newport County v Norwich City FC 12/03/1960 | View match |