| 1º Fase | ||||||
| 18/9/84 | Viena | Rapid | 4 | Panenka (3, 2P), Brucic | ||
| Besiktas | 1 | Kovacevic | ||||
| 3/10/84 | Estambul | Besiktas | 1 | Metin | ||
| Rapid | 1 | Kranjcar | ||||
| 19/9/84 | Ballymena | Ballymena United | 0 | |||
| Spartans | 1 | Xuereb | ||||
| 26/9/84 | Hamrun | Spartans | 2 | Xuereb (2, 1P) | ||
| Ballymena United | 1 | Beatty | ||||
| 19/9/84 | Dublin | University College | 0 | |||
| Everton | 0 | |||||
| 2/10/84 | Liverpool | Everton | 1 | Sharp | ||
| University College | 0 | |||||
| 19/9/84 | Levkosia | Apoel | 0 | |||
| Servette | 3 | Decastel, Brigger, Favre | ||||
| 3/10/84 | Ginebra | Servette | 3 | Kok, Barberis, Brigger | ||
| Apoel | 1 | Moores | ||||
| 19/9/84 | Copenhague | B 1903 | 0 | |||
| Fortuna | 0 | |||||
| 3/10/84 | Sittard | Fortuna | 3 | Holverda (2), Hoyer | ||
| B 1903 | 0 | |||||
| 19/9/84 | Munich | Bayern Munich | 4 | Pflugler (2), Wohlfarth, Nachtweih | ||
| Moss | 1 | Kollshaugen | ||||
| 3/10/84 | Moss | Moss | 1 | Rummenigge | ||
| Bayern Munich | 2 | Wohlfarth, Kollshaugen | ||||
| 19/9/84 | Plovdiv | Trakija | 4 | Pashev, Stoianov, Georgiev, Kostadinov | ||
| US Luxemburgo | 0 | |||||
| 3/10/84 | Luxemburgo | US Luxemburgo | 1 | Thines | ||
| Trakija | 1 | Stojanov | ||||
| 19/9/84 | Moscu | Dinamo Moscu | 1 | Argudjaev | ||
| Hajduk | 0 | |||||
| 3/10/84 | Osijek | Hajduk | 2 | Deveric, Vujovic (P) | ||
| Dinamo Moscu | 5 | Gazzaev (3, 1P), Bulanov, Khapsalis | ||||
| 19/9/84 | Genk | Genk | 1 | Cordiez | ||
| Celtic | 0 | |||||
| 3/10/84 | Glasgow | Celtic | 3 | McGarvey (2), McStay | ||
| Genk | 0 | |||||
| 19/9/84 | Malmo | Malmo | 2 | Magnusson (2) | ||
| Dinamo Dresden | 0 | |||||
| 3/10/84 | Dresden | Dinamo Dresden | 4 | Hafner (P), Minge, Pilñz, Stubner | ||
| Malmo | 1 | Ronnberg | ||||
| 19/9/84 | Metz | Metz | 2 | Kurbos, Rohr (P) | ||
| Barcelona | 4 | Sonor (A), Schuster, Caldere, Carrasco | ||||
| 3/10/84 | Barcelona | Barcelona | 1 | Carrasco | ||
| Metz | 4 | Kurbos (3), Tente Sanchez (A) | ||||
| 19/9/84 | Roma | Roma | 1 | Graziani | ||
| Steaua | 0 | |||||
| 3/10/84 | Bucarest | Steaua | 0 | |||
| Roma | 0 | |||||
| 19/9/84 | Siofok | Siofoki Banyasz | 1 | Tieber | ||
| AEL | 1 | Adamczyk | ||||
| 3/10/84 | Larisa | AEL | 2 | Kmiecik, Valaoras | ||
| Siofoki Banyasz | 0 | |||||
| 19/9/84 | Cracovia | Wisla | 4 | Wrobel, Nawalka, Banaszkiewicz (2) | ||
| IBV | 2 | Eliasson, Georgsson (P) | ||||
| 3/10/84 | Vestmannaeyjar | IBV | 1 | Georgsson | ||
| Wisla | 3 | Iwan (2), Banaszkiewicz | ||||
| 19/9/84 | Wrexham | Wrexham | 1 | Steel | ||
| Oporto | 0 | |||||
| 3/10/84 | Oporto | Oporto | 4 | Fernando Gomes (2), Jaime Magalhaes, Futre | ||
| Wrexham | 3 | Wright (2), Douglas | ||||
| 19/9/84 | Bratislava | Inter | 2 | Brezik, Moravec | ||
| Kuusysi | 1 | Thomvall | ||||
| 4/10/84 | Lahti | Kuusysi | 0 | |||
| Inter | 0 | |||||
| 2º Fase | ||||||
| 24/10/84 | Munich | Bayern Munich | 4 | Mladenov (A), Wohlfarth (2), Rummenigge | ||
| Trakija | 1 | Georgiev | ||||
| 7/11/84 | Plovdiv | Trakija | 2 | Pahev, Kostadinov (P) | ||
| Bayern Munich | 0 | |||||
| 24/10/84 | Moscu | Dinamo Moscu | 5 | Gazzaev (2), Karataev, Khapsalis, Bulanov | ||
| Spartans | 0 | |||||
| 7/11/84 | Hamrun | Spartans | 0 | |||
| Dinamo Moscu | 1 | Chesnokov | ||||
| 24/10/84 | Dresden | Dinamo Dresden | 3 | Hamer, Stubner, Gutschow | ||
| Metz | 1 | Trautmann (A) | ||||
| 7/11/84 | Metz | Metz | 0 | |||
| Dinamo Dresden | 0 | |||||
| 24/10/84 | Sittard | Fortuna | 2 | Hoyer, Van Well | ||
| Wisla | 0 | |||||
| 7/11/84 | Cracovia | Wisla | 2 | Iwan (P), Wrobel | ||
| Fortuna | 1 | Hoyer | ||||
| 24/10/84 | Bratislava | Inter | 0 | |||
| Everton | 1 | Bracewell | ||||
| 7/11/84 | Liverpool | Everton | 3 | Sharp, Stevens, Heath | ||
| Inter | 0 | |||||
| 24/10/84 | Larissa | AEL | 2 | Patsiavouras, Kmiecik (P) | ||
| Servette | 1 | Kok | ||||
| 7/11/84 | Ginebra | Servette | 0 | |||
| AEL | 1 | Valaoras | ||||
| 24/10/84 | Roma | Roma | 2 | Pruzzo (P), Cerezo | ||
| Wrexham | 0 | |||||
| 7/11/84 | Wrexham | Wrexham | 0 | |||
| Roma | 1 | Graziani | ||||
| 24/10/84 | Viena | Rapid | 3 | Pacult, Lainer, Krankl | ||
| Celtic | 1 | McCLair | ||||
| 7/11/84 | Glasgow | Celtic | 3 | McClair, McLeod, Burns | ||
| (*) | Rapid | 0 | ||||
| 12/12/84 | Manchester | Celtic | 0 | |||
| Rapid | 1 | Pacult | ||||
| (*) Partido anulado por UEFA, debido a que un jugador austriaco fue golpeado por un objero lanzado desde las tribunas | ||||||
| CUARTOS DE FINAL | ||||||
| 6/3/85 | Munich | Bayern Munich | 2 | Augenthaler, Hoeneß | ||
| Roma | 0 | |||||
| 20/3/85 | Roma | Roma | 1 | Nela | ||
| Bayern Munich | 2 | Matthaus (P), Kogl | ||||
| 6/3/85 | Dresden | Dinamo Dresden | 3 | Trautmann, Minge, Kirsten | ||
| Rapid | 0 | |||||
| 20/3/85 | Viena | Rapid | 5 | Pacult (2), Lainer, Panenka (P), Krankl | ||
| Dinamo Dresden | 0 | |||||
| 6/3/85 | Liverpool | Everton | 3 | Gray (3) | ||
| Fortuna | 0 | |||||
| 20/3/85 | Sittard | Fortuna | 0 | |||
| Everton | 2 | Sharp, Reid | ||||
| 6/3/85 | Larisa | AEL | 0 | |||
| Dinamo Moscu | 0 | |||||
| 20/3/85 | Tbilisi | Dinamo Moscu | 1 | Fomichev | ||
| AEL | 0 | |||||
| SEMIFINALES | ||||||
| 10/4/85 | Munich | Bayern Munich | 0 | |||
| Everton | 0 | |||||
| 24/4/85 | Liverpool | Everton | 3 | Sharp, Gray, Steven | ||
| Bayern Munich | 1 | Hoeneß | ||||
| 10/4/85 | Viena | Rapid | 3 | Lainer, Krankl (P), Hrstic | ||
| Dinamo Mocu | 1 | Karataev (P) | ||||
| 24/4/85 | Moscu | Dinamo Mocu | 1 | Pozdnjakov | ||
| Rapid | 1 | Panenka | ||||
| FINAL | ||||||
| 15/5/85 | Rotterdam | Everton | 3 | Gray, Steven, Sheedy | ||
| Rapid | 1 | Krankl | ||||
| Campeón: Everton (Inglaterra) | ||||||