| 9. Round | 25/10/1959 | Rapid JC Heerlen | - | ADO | 1:0 | ||||
| 10. Round | 01/11/1959 | USV Elinkwijk | - | Rapid JC Heerlen | 0:0 | ||||
| 14. Round | 29/11/1959 | PSV Eindhoven | - | Rapid JC Heerlen | 3:3 | ||||
| 15. Round | 06/12/1959 | Rapid JC Heerlen | - | MVV | 2:1 |  |
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| 16. Round | 13/12/1959 | Willem II | - | Rapid JC Heerlen | 3:2 | ||||
| 17. Round | 20/12/1959 | Rapid JC Heerlen | - | DWS Amsterdam | 0:1 | ||||
| 18. Round | 27/12/1959 | DOS Utrecht | - | Rapid JC Heerlen | 1:2 | |
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| 19. Round | 03/01/1960 | Rapid JC Heerlen | - | RKSV Sittardia | 3:1 | ||||
| 20. Round | 10/01/1960 | Rapid JC Heerlen | - | Sportclub Enschede | 0:1 | ||||
| 21. Round | 24/01/1960 | RC&FC Sparta | - | Rapid JC Heerlen | 0:1 | ||||
| 22. Round | 31/01/1960 | Rapid JC Heerlen | - | VVV | 2:1 | ||||
| 23. Round | 14/02/1960 | Blauw Wit | - | Rapid JC Heerlen | 3:1 | |
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| 24. Round | 21/02/1960 | Feijenoord | - | Rapid JC Heerlen | 5:0 | ||||
| 31. Round | 01/05/1960 | Rapid JC Heerlen | - | PSV Eindhoven | 3:0 | ||||
| 32. Round | 08/05/1960 | MVV | - | Rapid JC Heerlen | 3:0 |
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