| Chelsea FC v Everton FC 18/04/1959 | View match | |
| Everton FC v Wolverhampton Wanderers FC 25/04/1959 | View match | |
| Wigan Athletic FC v Everton FC 27/04/1959 | View match | |
| Liverpool FC v Everton FC 05/05/1959 | View match | |
| Everton FC v Tranmere Rovers FC 11/05/1959 | View match | |
| Everton FC v Luton Town FC 22/08/1959 | View match | |
| Burnley FC v Everton FC 25/08/1959 | View match | |
| Bolton Wanderers FC v Everton FC 29/08/1959 | View match | |
| Everton FC v Burnley FC 02/09/1959 | View match | |
| Everton FC v Fulham FC 05/09/1959 | View match | |
| Nottingham Forest FC v Everton FC 12/09/1959 | View match | |
| Everton FC v Blackburn Rovers FC 16/09/1959 | View match |