| 2. Round | 29/08/1959 | 1. FC Köln | - | Borussia VfL M.-Gladbach | 3:1 | ||||
| 4. Round | 12/09/1959 | 1. FC Köln | - | Preußen Münster | 3:0 | ||||
| 10. Round | 31/10/1959 | 1. FC Köln | - | Meidericher SV | 3:1 | ||||
| 11. Round | 14/11/1959 | Borussia Dortmund | - | 1. FC Köln | 0:3 | ||||
| 12. Round | 21/11/1959 | 1. FC Köln | - | Rot-Weiß Oberhausen | 3:2 | ||||
| 21. Round | 31/01/1960 | SF Hamborn 07 | - | 1. FC Köln | 2:2 | ||||
| 23. Round | 14/02/1960 | Westfalia Herne | - | 1. FC Köln | 3:1 | ||||
| 24. Round | 21/02/1960 | 1. FC Köln | - | Fortuna Düsseldorf | 3:1 | ||||
| 17. Round | 28/02/1960 | Borussia VfL M.-Gladbach | - | 1. FC Köln | 1:2 | ||||
| 26. Round | 13/03/1960 | 1. FC Köln | - | Borussia Dortmund | 2:2 | ||||
| 27. Round | 27/03/1960 | Rot-Weiß Oberhausen | - | 1. FC Köln | 2:2 | ||||
| 28. Round | 03/04/1960 | Alemannia Aachen | - | 1. FC Köln | 3:1 | ||||
| 29. Round | 10/04/1960 | 1. FC Köln | - | Rot-Weiss Essen | 7:1 | ||||
| 30. Round | 24/04/1960 | VfL Bochum | - | 1. FC Köln | 3:2 |  |
Germany