| York City FC v Workington 27/03/1959 | View match | |
| Shrewsbury Town FC v York City FC 28/03/1959 | View match | |
| Workington v York City FC 30/03/1959 | View match | |
| York City FC v Darlington FC 04/04/1959 | View match | |
| Walsall FC v York City FC 11/04/1959 | View match | |
| York City FC v Port Vale FC 15/04/1959 | View match | |
| York City FC v Millwall FC 18/04/1959 | £9.99 | |
| York City FC v Northampton Town FC 20/04/1959 | View match | |
| Aldershot F.C v York City FC 25/04/1959 | View match | |
| York City FC v Gateshead 27/04/1959 | View match | |
| Bradford City FC v York City FC 22/08/1959 | View match | |
| York City FC v Bury FC 24/08/1959 | View match |