Western League Division One
| Date | Venue | Opponents | Comp | Att | F | A | Scorers |
| 02/09/1959 | Home | Yeovil Town | LC | 3 | 0 | ||
| 08/09/1959 | Away | Yeovil Town | LC | 2 | 1 | ||
| 12/09/1959 | Home | Kidderminster Harriers | Lge | 5 | 3 | ||
| 19/09/1959 | Away | Melksham Town - 1Q | FAC | 4 | 2 | ||
| 03/10/1959 | Away | Westbury United - 2Q | FAC | 3 | 1 | ||
| 17/10/1959 | Away | Calne & Harris Utd - 3Q | FAC | 6 | 1 | ||
| 24/10/1959 | Home | Dover | Lge | 1927 | 4 | 0 | |
| 31/10/1959 | Away | Barnstaple Town - 4Q | FAC | 1932 | 0 | 1 | |
| 04/11/1959 | Away | Swindon Town | WPS | 1101 | 1 | 2 | Sampson |
| 09/01/1960 | Home | Margate | Lge | 735 | 3 | 3 | |
| 23/01/1960 | Away | Kidderminster Harriers | Lge | 1 | 1 | ||
| 30/01/1960 | Away | Margate | Lge | 2125 | 1 | 6 | |
| /03/1960 | Home | Romford | Lge | 2 | 1 | ||
| 12/03/1960 | Away | Dover | Lge | 1772 | 3 | 2 | |
| /03/1960 | Away | Romford | Lge | 1 | 0 | Davies |
Lge -
League
FAC - FA
Cup
LC - League Cup
WPS - Wiltshire Premier Shield