| West Ham United FC v West Bromwich Albion FC 07/03/1959 | View match | |
| Burnley FC v West Ham United FC 14/03/1959 | View match | |
| West Ham United FC v Bolton Wanderers FC 21/03/1959 | £10.00 | |
| West Ham United FC v Newcastle United FC 27/03/1959 | £15.00 | |
| Arsenal FC v West Ham United FC 28/03/1959 | View match | |
| Newcastle United FC v West Ham United FC 30/03/1959 | View match | |
| West Ham United FC v Everton FC 04/04/1959 | £12.50 | |
| West Ham United FC v Arsenal FC 06/04/1959 | £20.00 | |
| Leicester City FC v West Ham United FC 11/04/1959 | View match | |
| West Ham United FC v Luton Town FC 13/04/1959 | £18.00 | |
| West Ham United FC v Preston North End FC 18/04/1959 | £9.50 | |
| West Ham United FC v Manchester City FC 20/04/1959 | £14.00 |