| 1. Round | 16/09/1970 | Hibernians FC | - | Real Madrid | 0:0 | ||||
| 1. Round | 30/09/1970 | Real Madrid | - | Hibernians FC | 5:0 | ||||
| 2. Round | 21/10/1970 | Real Madrid | - | FC Wacker Innsbruck | 0:1 | ||||
| 2. Round | 04/11/1970 | FC Wacker Innsbruck | - | Real Madrid | 0:2 | ||||
| Quarter-finals | 10/03/1971 | Cardiff City | - | Real Madrid | 1:0 | ||||
| Quarter-finals | 24/03/1971 | Real Madrid | - | Cardiff City | 2:0 | ||||
| Semi-finals | 14/04/1971 | PSV Eindhoven | - | Real Madrid | 0:0 | ||||
| Semi-finals | 28/04/1971 | Real Madrid | - | PSV Eindhoven | 2:1 | ||||
| Final | 19/05/1971 | Chelsea FC | - | Real Madrid | 1:1 aet | ||||
| Final | 21/05/1971 | Chelsea FC | - | Real Madrid | 2:1 |
Spain