| 3. Round | 27/08/1960 | Newcastle United | - | Burnley FC | 0:1 | ||||
| 4. Round | 30/08/1960 | Burnley FC | - | Manchester City | 1:3 |  |
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| 5. Round | 03/09/1960 | Burnley FC | - | Cardiff City | 1:2 | ||||
| 6. Round | 06/09/1960 | Burnley FC | - | Preston North End | 5:0 | |
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| 7. Round | 10/09/1960 | West Bromwich Albion | - | Burnley FC | 0:2 | ||||
| 8. Round | 13/09/1960 | Preston North End | - | Burnley FC | 2:3 | ||||
| 9. Round | 17/09/1960 | Burnley FC | - | Birmingham City | 2:1 | |
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| 10. Round | 24/09/1960 | Sheffield Wednesday | - | Burnley FC | 3:1 | ||||
| 33. Round | 11/03/1961 | Burnley FC | - | Chelsea FC | 4:4 | ||||
| 34. Round | 21/03/1961 | Blackpool FC | - | Burnley FC | 0:0 | ||||
| 32. Round | 12/04/1961 | Manchester United | - | Burnley FC | 6:0 | ||||
| 40. Round | 15/04/1961 | Wolverhampton Wanderers | - | Burnley FC | 2:1 |
England