| Birmingham City FC v Everton FC 21/02/1959 | View match | |
| Everton FC v Tottenham Hotspur FC 28/02/1959 | View match | |
| Manchester United FC v Everton FC 07/03/1959 | View match | |
| Everton FC v Blackpool FC 14/03/1959 | View match | |
| Blackburn Rovers FC v Everton FC 21/03/1959 | View match | |
| Luton Town FC v Everton FC 27/03/1959 | View match | |
| Everton FC v Aston Villa FC 28/03/1959 | View match | |
| Everton FC v Luton Town FC 30/03/1959 | View match | |
| West Ham United FC v Everton FC 04/04/1959 | £12.50 | |
| Crystal Palace FC v Everton FC 06/04/1959 | View match | |
| Everton FC v Nottingham Forest FC 11/04/1959 | View match | |
| Portsmouth FC v Everton FC 15/04/1959 | View match |