| West Ham United FC v U.D.A Dukla Prague 09/11/1959 | £11.00 | |
| Arsenal FC v West Ham United FC 14/11/1959 | £3.00 | |
| Arsenal FC v West Ham United FC 14/11/1959 | £5.50 | |
| West Ham United FC v Wolverhampton Wanderers FC 21/11/1959 | View match | |
| Sheffield Wednesday FC v West Ham United FC 28/11/1959 | View match | |
| West Ham United FC v Nottingham Forest FC 05/12/1959 | £4.50 | |
| Blackburn Rovers FC v West Ham United FC 12/12/1959 | View match | |
| Leicester City FC v West Ham United FC 19/12/1959 | View match | |
| Birmingham City FC v West Ham United FC 26/12/1959 | View match | |
| West Ham United FC v Birmingham City FC 28/12/1959 | £6.00 | |
| West Ham United FC v Burnley FC 02/01/1960 | £3.50 | |
| Huddersfield Town FC v West Ham United FC 09/01/1960 | View match |