15. Round | 31/10/1959 | Luton Town | - | Burnley FC | 1:1 | ||||
16. Round | 07/11/1959 | Birmingham City | - | Luton Town | 1:1 | ||||
17. Round | 14/11/1959 | Luton Town | - | Tottenham Hotspur | 1:0 | ||||
18. Round | 21/11/1959 | Manchester United | - | Luton Town | 4:1 | ||||
19. Round | 28/11/1959 | Luton Town | - | Preston North End | 1:3 | ||||
20. Round | 05/12/1959 | Leicester City | - | Luton Town | 3:3 | ||||
21. Round | 12/12/1959 | Luton Town | - | Newcastle United | 3:4 | ||||
22. Round | 19/12/1959 | Luton Town | - | Everton FC | 2:1 | ||||
23. Round | 26/12/1959 | Arsenal FC | - | Luton Town | 0:3 | ||||
24. Round | 28/12/1959 | Luton Town | - | Arsenal FC | 0:1 | ||||
25. Round | 02/01/1960 | Leeds United | - | Luton Town | 1:1 | ||||
27. Round | 23/01/1960 | Luton Town | - | Fulham FC | 4:1 | ||||
28. Round | 06/02/1960 | Nottingham Forest | - | Luton Town | 2:0 | ||||
40. Round | 18/04/1960 | Luton Town | - | Blackburn Rovers | 1:1 | ||||
41. Round | 23/04/1960 | Luton Town | - | West Ham United | 3:1 | ||||
42. Round | 30/04/1960 | Preston North End | - | Luton Town | 2:0 |