| 6. Round | 26/09/1959 | Alemannia Aachen | - | Preußen Münster | 0:2 | ||||
| 9. Round | 24/10/1959 | Meidericher SV | - | Alemannia Aachen | 1:0 | ||||
| 22. Round | 07/02/1960 | Alemannia Aachen | - | Schwarz-Weiß Essen | 3:0 |  |
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| 23. Round | 14/02/1960 | FC Schalke 04 | - | Alemannia Aachen | 0:0 | ||||
| 24. Round | 21/02/1960 | Alemannia Aachen | - | Meidericher SV | 2:0 | ||||
| 25. Round | 06/03/1960 | Rot-Weiß Oberhausen | - | Alemannia Aachen | 3:0 | ||||
| 28. Round | 03/04/1960 | Alemannia Aachen | - | 1. FC Köln | 3:1 | |
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| 29. Round | 10/04/1960 | VfL Bochum | - | Alemannia Aachen | 2:0 | ||||
| 30. Round | 24/04/1960 | Rot-Weiss Essen | - | Alemannia Aachen | 1:0 |
Hungary