| 1. Round | 09/10/1963 | Slavia Sofia | - | MTK | 1:1 | ||||
| 2. Round | 20/11/1963 | BSG Motor Zwickau | - | MTK | 1:0 | ||||
| 2. Round | 30/11/1963 | MTK | - | BSG Motor Zwickau | 2:0 | ||||
| Quarter-finals | 27/02/1964 | MTK | - | Fenerbahçe | 2:0 |  |
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| Quarter-finals | 07/03/1964 | Fenerbahçe | - | MTK | 3:1 | ||||
| Semi-finals | 15/04/1964 | Celtic FC | - | MTK | 3:0 | ||||
| Semi-finals | 29/04/1964 | MTK | - | Celtic FC | 4:0 | |
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| Final | 13/05/1964 | Sporting CP | - | MTK | 3:3 aet | ||||
| Final | 15/05/1964 | Sporting CP | - | MTK | 1:0 |
Hungary