| Tranmere Rovers FC v Halifax Town A.F.C 28/03/1960 | View match | |
| Bury FC v Tranmere Rovers FC 02/04/1960 | £7.50 | |
| Tranmere Rovers FC v Barnsley FC 09/04/1960 | View match | |
| Tranmere Rovers FC v Swindon Town FC 15/04/1960 | View match | |
| Shrewsbury Town FC v Tranmere Rovers FC 16/04/1960 | View match | |
| Swindon Town FC v Tranmere Rovers FC 18/04/1960 | View match | |
| Tranmere Rovers FC v Reading FC 23/04/1960 | View match | |
| Tranmere Rovers FC v Bury FC 25/04/1960 | View match | |
| Mansfield Town FC v Tranmere Rovers FC 30/04/1960 | View match | |
| Brentford FC v Tranmere Rovers FC 20/08/1960 | £8.50 | |
| Tranmere Rovers FC v Swindon Town FC 22/08/1960 | View match | |
| Tranmere Rovers FC v Watford FC 27/08/1960 | View match |