| 1. Round | 23/08/1958 | Burnley FC | - | Manchester City | 3:4 | ||||
| 2. Round | 26/08/1958 | Arsenal FC | - | Burnley FC | 3:0 | ||||
| 7. Round | 13/09/1958 | Birmingham City | - | Burnley FC | 2:1 | ||||
| 11. Round | 04/10/1958 | Burnley FC | - | Chelsea FC | 4:0 |  |
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| 14. Round | 25/10/1958 | West Ham United | - | Burnley FC | 1:0 | ||||
| 15. Round | 01/11/1958 | Burnley FC | - | Nottingham Forest | 0:2 | ||||
| 28. Round | 07/02/1959 | Luton Town | - | Burnley FC | 6:2 | ||||
| 37. Round | 30/03/1959 | Preston North End | - | Burnley FC | 0:4 | |
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| 38. Round | 04/04/1959 | Wolverhampton Wanderers | - | Burnley FC | 3:3 | |
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| 41. Round | 08/04/1959 | Tottenham Hotspur | - | Burnley FC | 2:2 | |
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| 39. Round | 11/04/1959 | Burnley FC | - | Portsmouth FC | 2:1 | ||||
| 29. Round | 14/04/1959 | Burnley FC | - | Bolton Wanderers | 0:1 | ||||
| 40. Round | 18/04/1959 | Aston Villa | - | Burnley FC | 0:0 | ||||
| 42. Round | 25/04/1959 | Burnley FC | - | Newcastle United | 2:2 | |
England