| 3. Round | 31/08/1963 | Burnley FC | - | Sheffield Wednesday | 3:1 | ||||
| 4. Round | 04/09/1963 | Chelsea FC | - | Burnley FC | 2:0 | ||||
| 35. Round | 21/03/1964 | Wolverhampton Wanderers | - | Burnley FC | 1:1 | ||||
| 37. Round | 28/03/1964 | Burnley FC | - | Stoke City | 1:0 | ||||
| 36. Round | 30/03/1964 | Bolton Wanderers | - | Burnley FC | 2:1 |
England