| 14. Round | 07/12/1958 | Willem II | - | Rapid JC Heerlen | 2:0 | ||||
| 22. Round | 22/02/1959 | Blauw Wit | - | Rapid JC Heerlen | 1:2 | ||||
| 25. Round | 15/03/1959 | PSV Eindhoven | - | Rapid JC Heerlen | 1:1 | ||||
| 26. Round | 22/03/1959 | Rapid JC Heerlen | - | NAC Breda | 2:3 | ||||
| 30. Round | 26/04/1959 | Rapid JC Heerlen | - | Fortuna '54 | 0:0 | ||||
| 31. Round | 03/05/1959 | USV Elinkwijk | - | Rapid JC Heerlen | 1:3 |  |
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| 32. Round | 18/05/1959 | Rapid JC Heerlen | - | Willem II | 4:0 | ||||
| 33. Round | 24/05/1959 | AFC Ajax | - | Rapid JC Heerlen | 0:2 | ||||
| 34. Round | 31/05/1959 | Rapid JC Heerlen | - | VVV | 2:1 |
Netherlands