1. Round | 17/09/1984 | Rapid Wien | - | Beşiktaş | 4:1 | ||||
1. Round | 03/10/1984 | Beşiktaş | - | Rapid Wien | 1:1 | ||||
2. Round | 24/10/1984 | Rapid Wien | - | Celtic FC | 3:1 | ||||
2. Round | 11/12/1984 | Celtic FC | - | Rapid Wien | 0:1 | ||||
Quarter-finals | 05/03/1985 | Dynamo Dresden | - | Rapid Wien | 3:0 | ||||
Quarter-finals | 19/03/1985 | Rapid Wien | - | Dynamo Dresden | 5:0 | ||||
Semi-finals | 09/04/1985 | Rapid Wien | - | Dinamo Moskva | 3:1 | ||||
Semi-finals | 23/04/1985 | Dinamo Moskva | - | Rapid Wien | 1:1 | ||||
Final | 15/05/1985 | Everton FC | - | Rapid Wien | 3:1 |