| Burnley FC v Leeds United FC 03/01/1959 | View match | |
| Stockport County FC v Burnley FC 14/01/1959 | View match | |
| Blackburn Rovers FC v Burnley FC 28/01/1959 | View match | |
| Burnley FC v Birmingham City FC 31/01/1959 | View match | |
| Luton Town FC v Burnley FC 07/02/1959 | View match | |
| Burnley FC v Portsmouth FC 14/02/1959 | View match | |
| Chelsea FC v Burnley FC 21/02/1959 | View match | |
| Aston Villa FC v Burnley FC 28/02/1959 | View match | |
| Burnley FC v Aston Villa FC 03/03/1959 | View match | |
| Blackburn Rovers FC v Burnley FC 07/03/1959 | View match | |
| West Bromwich Albion FC v Burnley FC 11/03/1959 | View match | |
| Burnley FC v West Ham United FC 14/03/1959 | View match |