| Bury FC v Southampton FC 20/02/1960 | £8.50 | |
| Coventry City FC v Bury FC 27/02/1960 | View match | |
| Bury FC v Bradford City FC 05/03/1960 | View match | |
| Queens Park Rangers FC v Bury FC 12/03/1960 | View match | |
| Bury FC v Accrington Stanley (1891) 19/03/1960 | View match | |
| Wrexham FC v Bury FC 26/03/1960 | View match | |
| Bury FC v Tranmere Rovers FC 02/04/1960 | View match | |
| Bournemouth & Boscombe v Bury FC 09/04/1960 | View match | |
| Bury FC v Port Vale FC 15/04/1960 | View match | |
| Bury FC v Chesterfield FC 16/04/1960 | View match | |
| Port Vale FC v Bury FC 18/04/1960 | View match | |
| Newport County v Bury FC 23/04/1960 | View match |