| Burnley FC v Newcastle United FC 06/02/1960 | View match | |
| Bradford City FC v Burnley FC 20/02/1960 | View match | |
| Burnley FC v Bradford City FC 23/02/1960 | View match | |
| Bolton Wanderers FC v Burnley FC 27/02/1960 | View match | |
| Burnley FC v Tottenham Hotspur FC 01/03/1960 | View match | |
| Burnley FC v Blackburn Rovers FC 05/03/1960 | £6.00 | |
| Burnley FC v Blackburn Rovers FC 12/03/1960 | View match | |
| Blackburn Rovers FC v Burnley FC 16/03/1960 | View match | |
| Burnley FC v Arsenal FC 19/03/1960 | View match | |
| Wolverhampton Wanderers FC v Burnley FC 30/03/1960 | View match | |
| Burnley FC v Sheffield Wednesday FC 02/04/1960 | View match | |
| Nottingham Forest FC v Burnley FC 09/04/1960 | View match |