| 1. Round | 19/09/1979 | HJK Helsinki | - | AFC Ajax | 1:8 |  |
|||
| 1. Round | 03/10/1979 | AFC Ajax | - | HJK Helsinki | 8:1 | |
|||
| Round of 16 | 24/10/1979 | AFC Ajax | - | Omonia Nikosia | 10:0 | |
|||
| Round of 16 | 07/11/1979 | Omonia Nikosia | - | AFC Ajax | 4:0 | ||||
| Quarter-finals | 05/03/1980 | RC Strasbourg | - | AFC Ajax | 0:0 | ||||
| Quarter-finals | 19/03/1980 | AFC Ajax | - | RC Strasbourg | 4:0 | |
|||
| Semi-finals | 09/04/1980 | Nottingham Forest | - | AFC Ajax | 2:0 |  |
|||
| Semi-finals | 23/04/1980 | AFC Ajax | - | Nottingham Forest | 1:0 | |
Denmark