| 1. Round | 17/09/1984 | Videoton SC | - | ASVS Dukla Praha | 1:0 | ||||
| 1. Round | 02/10/1984 | ASVS Dukla Praha | - | Videoton SC | 0:0 | ||||
| 2. Round | 24/10/1984 | Paris Saint-Germain | - | Videoton SC | 2:4 | ||||
| 2. Round | 07/11/1984 | Videoton SC | - | Paris Saint-Germain | 1:0 | ||||
| Round of 16 | 27/11/1984 | Videoton SC | - | Partizan | 5:0 | ||||
| Round of 16 | 11/12/1984 | Partizan | - | Videoton SC | 2:0 | ||||
| Quarter-finals | 05/03/1985 | Manchester United | - | Videoton SC | 1:0 | ||||
| Semi-finals | 09/04/1985 | Videoton SC | - | Željezničar Sarajevo | 3:1 | ||||
| Semi-finals | 23/04/1985 | Željezničar Sarajevo | - | Videoton SC | 2:1 |  |
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| Final | 07/05/1985 | Videoton SC | - | Real Madrid | 0:3 | ||||
| Final | 21/05/1985 | Real Madrid | - | Videoton SC | 0:1 |
Hungary