Semi-finals
Valencia 5 -
2 Nantes
Juventus 1 -
2 Arsenal
Quarter-finals
Juventus 2 -
0 Rijeka
Nantes 4 -
3 Dynamo Moscow
Valencia 5 -
3 Barcelona
IFK Goteborg 1 -
5 Arsenal
2nd Round
IFK Goteborg 2 -
1 Panionios
FCSB 3 -
5 Nantes
Rijeka 3 -
2 Lokomotiva Kosice
Boavista 1 -
1 Dynamo Moscow
Rangers 2 -
4 Valencia
Juventus 3 -
1 Beroe
Magdeburg 3 -
4 Arsenal
Barcelona 11 -
2 Aris Bonnevoie
1st Round
Boavista 9 -
2 Sliema Wanderers
Valencia 6 -
2 B 1903
Beroe 4 -
3 Arka
Fenerbahçe 0 -
2 Arsenal
Waterford United 1 -
2 IFK Goteborg
Fortuna Düsseldorf 1 -
2 Rangers
Rijeka 2 -
1 Beerschot AC
Twente 3 -
5 Panionios
Aris Bonnevoie 2 -
0 Lahden Reipas
Magdeburg 7 -
5 Wrexham
Lokomotiva Kosice 3 -
1 Wacker Innsbruck 1915
Győr 2 -
3 Juventus
FCSB 8 -
2 Young Boys
Nantes 8 -
0 Cliftonville
Barcelona 6 -
0 Akraness
Qualifying Round
APOEL 0 -
7 B 1903
Lillestrøm 0 -
3 Rangers
UEFA Cup Winners' Cup
| Winner | |
| Date | 15.08.1979 - 14.05.1980 |
| Played | 64 of 64 |
| Attendance | 22891 |
 |
 |  |
|
|---|---|---|---|
|
9 | 2 | 9 |
|
7 | 7 | |
|
4 | 3 | |
|
|
4 | 5 | |
|
4 | 7 | |
 Poul-Erik Thygesen |
3 | 3 | |
Marcel Răducanu |
3 | 2 | 3 |
Júlio |
3 | 4 | |
|
3 | 4 | |
Ján Kozák |
3 | 4 |
