| Manchester United FC v Wolverhampton Wanderers FC 05/03/1960 | £5.00 | |
| Manchester City FC v Manchester United FC 12/03/1960 | £8.50 | |
| Manchester City FC v Manchester United FC 12/03/1960 | £7.00 | |
| Manchester United FC v Nottingham Forest FC 19/03/1960 | View match | |
| Hibernian FC v Manchester United FC 21/03/1960 | View match | |
| Fulham FC v Manchester United FC 26/03/1960 | £5.50 | |
| Sheffield Wednesday FC v Manchester United FC 30/03/1960 | View match | |
| Liverpool FC v Manchester United FC 30/03/1960 | View match | |
| Manchester United FC v Bolton Wanderers FC 02/04/1960 | View match | |
| Luton Town FC v Manchester United FC 09/04/1960 | View match | |
| West Ham United FC v Manchester United FC 15/04/1960 | View match | |
| Manchester United FC v Blackburn Rovers FC 16/04/1960 | £4.00 |