| 1. Round | 16/09/1970 | Nentori Tiranë | - | AFC Ajax | 2:2 |  |
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| 1. Round | 30/09/1970 | AFC Ajax | - | Nentori Tiranë | 2:0 | ||||
| Round of 16 | 21/10/1970 | AFC Ajax | - | FC Basel 1893 | 3:0 | ||||
| Round of 16 | 04/11/1970 | FC Basel 1893 | - | AFC Ajax | 1:2 | ||||
| Quarter-finals | 10/03/1971 | AFC Ajax | - | Celtic FC | 3:0 | ||||
| Quarter-finals | 24/03/1971 | Celtic FC | - | AFC Ajax | 1:0 | ||||
| Semi-finals | 14/04/1971 | Atlético Madrid | - | AFC Ajax | 1:0 | ||||
| Semi-finals | 28/04/1971 | AFC Ajax | - | Atlético Madrid | 3:0 | |
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| Final | 02/06/1971 | AFC Ajax | - | Panathinaikos | 2:0 |
Netherlands