| Fase Preliminar | ||||||
| 15/8/79 | Copenhague | B 1903 | 6 | Haarbye, Larsen, Kristiansen (2), Thygesen (2) | ||
| Apoel | 0 | |||||
| 8/9/79 | Levkosia | Apoel | 0 | |||
| B 1903 | 1 | Larsen | ||||
| 21/8/79 | Glasgow | Rangers | 1 | Smith | ||
| Lillestrom | 0 | |||||
| 8/9/79 | Oslo | Lillestrom | 0 | |||
| Rangers | 2 | MacDonald, Johnstone | ||||
| 1º Fase | ||||||
| 12/9/79 | Sliema | Sliema Wanderers | 2 | Tortell (2P) | ||
| Boavista | 1 | Eliseu | ||||
| 5/10/79 | Oporto | Boavista | 8 | Ailton, Julio (3), Moinhos, Salvador, Folha, Oscar | ||
| Sliema Wanderers | 0 | |||||
| 19/9/79 | Gdynia | Arka | 3 | Kwiatkowski, Korynt (2) | ||
| Beroe | 2 | Petkov, Lipenski | ||||
| 3/10/79 | Stara Zagora | Beroe | 2 | Stojanov, Petkov | ||
| Arka | 0 | |||||
| 19/9/79 | Londres | Arsenal | 2 | Sunderland, Young | ||
| Fenerbahce | 0 | |||||
| 3/10/79 | Estambul | Fenerbahce | 0 | |||
| Arsenal | 0 | |||||
| 19/9/79 | Copenhague | B 1903 | 2 | Thygesen, Hansen | ||
| Valencia | 2 | Arias, Castellanos | ||||
| 3/10/79 | Valencia | Valencia | 4 | Felman, Kempes (2), Saura | ||
| B 1903 | 0 | |||||
| 19/9/79 | Amberes | Beerschot | 0 | |||
| Rijeka | 0 | |||||
| 3/10/79 | Rijeka | Rijeka | 2 | Radovic (2) | ||
| Beerschot | 1 | Mucher | ||||
| 19/9/79 | Gotemburgo | Goteborg | 1 | Holm (P) | ||
| Waterford | 0 | |||||
| 3/10/79 | Waterford | Waterford | 1 | Keane | ||
| Goteborg | 1 | McCarthy (A) | ||||
| 19/9/79 | Turin | Juventus | 2 | Pozsgai (A), Cabrini (P) | ||
| Gyor ETO | 0 | |||||
| 3/10/79 | Gyor | Gyor ETO | 2 | Furino (A), Poczik | ||
| Juventus | 1 | Causio | ||||
| 19/9/79 | Atenas | Panionios | 4 | Liolios (2), Pathiakakis (P), Anastapoulos | ||
| Twente | 0 | |||||
| 3/10/79 | Enschede | Twente | 3 | Bos, Linstedt, Otto | ||
| Panionios | 1 | Anastopoulos | ||||
| 19/9/79 | Glasgow | Rangers | 2 | MacDonald, McLean | ||
| Fortuna | 1 | Wenzel | ||||
| 3/10/79 | Dusseldorf | Fortuna | 0 | |||
| Rangers | 0 | |||||
| 19/9/79 | Lahti | Reipas | 0 | |||
| Aris Bonnevoie | 1 | Schutz | ||||
| 3/10/79 | Bonnevoie | Aris Bonnevoie | 1 | Collins | ||
| Reipas | 0 | |||||
| 19/9/79 | Innsbruck | Wacker | 1 | Poll (P) | ||
| Lokomotiv Kosice | 2 | Strapek, Jacko | ||||
| 3/10/79 | Kosice | Lokomotiv Kosice | 1 | Kozak | ||
| Wacker | 0 | |||||
| 19/9/79 | Wrexham | Wrexham | 3 | McNeill, Fox, Buxton | ||
| Magdeburgo | 2 | Streich, Steinbach | ||||
| 3/10/79 | Magdeburgo | Magdeburgo | 5 | Honmann (2, 1P), Mewes, Steinbach (P), Streich | ||
| Wrexham | 2 | Winter, Hill | ||||
| 19/9/79 | Berna | Young Boys | 2 | Zwygart (P), Schonenberger | ||
| Steaua | 2 | Stoica, Iordanescu | ||||
| 3/10/79 | Bucarest | Steaua | 6 | Nitu, Sames (2), Aelenei, Raducanu, Zahiu | ||
| Young Boys | 0 | |||||
| 20/9/79 | Belfast | Cliftonville | 0 | |||
| Nantes | 1 | Rampillon | ||||
| 3/10/79 | Nantes | Nantes | 7 | Trossero (2), Pecout (3), Rampillon, Amisse | ||
| Cliftonville | 0 | |||||
| 26/9/79 | Reykjavik | IA | 0 | |||
| Barcelona | 1 | Rexach | ||||
| 3/10/79 | Barcelona | Barcelona | 5 | Krankl, Simonsen, Rexach, Asensi, Carrasco | ||
| IA | 0 | |||||
| 2º Fase | ||||||
| 24/10/79 | Luxemburgo | Aris Bonnevoie | 1 | Mathes | ||
| Barcelona | 4 | Simonsen (3), Rexach | ||||
| 7/11/79 | Barcelona | Barcelona | 7 | Krankl (3), Heredia (2), Carrasco, Canito | ||
| Aris Bonnevoie | 1 | Tullius | ||||
| 24/10/79 | Londres | Arsenal | 2 | Young, Sunderland | ||
| Magdeburgo | 1 | Pommerenke | ||||
| 7/11/79 | Magdeburgo | Magdeburgo | 2 | Streich (P), Stahmann | ||
| Arsenal | 2 | Price, Brady | ||||
| 24/10/79 | Stara Zagora | Beroe | 1 | Stojanov (P) | ||
| Juventus | 0 | |||||
| 7/11/79 | Turin | Juventus | 3 | Scirea, Causio, Verza | ||
| Beroe | 0 | |||||
| 24/10/79 | Moscu | Dinamo Moscu | 0 | |||
| Boavista | 0 | |||||
| 7/11/79 | Oporto | Boavista | 1 | Moinhos | ||
| Dinamo Moscu | 1 | Minaev | ||||
| 24/10/79 | Kosice | Lokomotiv Kosice | 2 | Kozak (2) | ||
| Rijeka | 0 | |||||
| 7/11/79 | Rijeka | Rijeka | 3 | Desnica (3, 1P) | ||
| Lokomotiv Kosice | 0 | |||||
| 24/10/79 | Nantes | Nantes | 3 | Pecout (2), Toure | ||
| Steaua | 2 | Raducanu (2P) | ||||
| 7/11/79 | Bucarest | Steaua | 1 | Ionescu | ||
| Nantes | 2 | Pecout, Amisse | ||||
| 24/10/79 | Atenas | Panionios | 1 | Anastopoulos | ||
| Goteborg | 0 | |||||
| 7/11/79 | Goteborg | Goteborg | 2 | Nordin, Holmgren | ||
| Panionios | 0 | |||||
| 24/10/79 | Valencia | Valencia | 1 | Kempes | ||
| Rangers | 1 | McLean | ||||
| 7/11/79 | Glasgow | Rangers | 1 | Johnstone | ||
| Valencia | 3 | Jardine (A), Kempes (2) | ||||
| CUARTOS DE FINAL | ||||||
| 5/3/80 | Londres | Arsenal | 5 | Sundrland (2), Price, Brady, Young | ||
| Goteborg | 1 | Nilsson | ||||
| 19/3/80 | Goteborg | Goteborg | 0 | |||
| Arsenal | 0 | |||||
| 5/3/80 | Barcelona | Barcelona | 0 | |||
| Valencia | 1 | Pablo | ||||
| 19/3/80 | Valencia | Valencia | 4 | Saura (2), Bonhof, Kempes (P) | ||
| Barcelona | 3 | Canito (2), Landaburu | ||||
| 5/3/80 | Tbilisi | Dinamo Tbilisi | 0 | |||
| Nantes | 2 | Tusseau, Pecout | ||||
| 19/3/80 | Nantes | Nantes | 2 | Michel, Toure | ||
| Dinamo Tbilisi | 3 | Minaev, Gazzaev, Kolesov | ||||
| 5/3/80 | Rijeka | Rijeka | 0 | |||
| Juventus | 0 | |||||
| 19/3/80 | Turin | Juventus | 2 | Causio, Bettega | ||
| Rijeka | 0 | |||||
| SEMIFINALES | ||||||
| 9/4/80 | Londres | Arsenal | 1 | Bettega (A) | ||
| Juventus | 1 | Tardelli | ||||
| 23/4/80 | Turin | Juventus | 0 | |||
| Arsenal | 1 | Vaessen | ||||
| 9/4/80 | Nantes | Nantes | 2 | Michel, Baronchelli | ||
| Valencia | 1 | Kempes | ||||
| 23/4/80 | Valencia | Valencia | 4 | Bonhof, Subirats, Kempes (2) | ||
| Nantes | 0 | |||||
| FINAL | ||||||
| 14/5/80 | Bruselas | Valencia | 0(5) | |||
| Arsenal | 0(4) | |||||
| Campeón: Valencia (España) | ||||||