| 1. Round | 19/09/1979 | Arsenal FC | - | Fenerbahçe | 2:0 | ||||
| 1. Round | 03/10/1979 | Fenerbahçe | - | Arsenal FC | 0:0 | ||||
| 2. Round | 24/10/1979 | Arsenal FC | - | 1. FC Magdeburg | 2:1 | ||||
| 2. Round | 06/11/1979 | 1. FC Magdeburg | - | Arsenal FC | 2:2 | ||||
| Quarter-finals | 04/03/1980 | Arsenal FC | - | IFK Göteborg | 5:1 | ||||
| Quarter-finals | 19/03/1980 | IFK Göteborg | - | Arsenal FC | 0:0 | ||||
| Semi-finals | 08/04/1980 | Arsenal FC | - | Juventus | 1:1 | ||||
| Semi-finals | 22/04/1980 | Juventus | - | Arsenal FC | 0:1 | ||||
| Final | 13/05/1980 | Valencia CF | - | Arsenal FC | 5:4 pso |
England