| 1. Round | 27/09/1978 | Adanaspor | - | Budapest Honved SE | 2:2 | ||||
| 2. Round | 18/10/1978 | Budapest Honved SE | - | CS Politechnica Timisoara | 4:0 | ||||
| 2. Round | 31/10/1978 | CS Politechnica Timisoara | - | Budapest Honved SE | 2:0 | ||||
| Round of 16 | 21/11/1978 | Budapest Honved SE | - | AFC Ajax | 4:1 | ||||
| Round of 16 | 05/12/1978 | AFC Ajax | - | Budapest Honved SE | 2:0 | ||||
| Quarter-finals | 06/03/1979 | Budapest Honved SE | - | MSV Duisburg | 2:3 | ||||
| Quarter-finals | 21/03/1979 | MSV Duisburg | - | Budapest Honved SE | 1:2 |
Hungary