| 2. Round | 31/08/1958 | RC&FC Sparta | - | AFC Ajax | 4:2 | ||||
| 8. Round | 19/10/1958 | AFC Ajax | - | SHS | 1:2 | ||||
| 23. Round | 01/03/1959 | Willem II | - | AFC Ajax | 5:1 |  |
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| 31. Round | 03/05/1959 | AFC Ajax | - | DOS Utrecht | 2:0 | ||||
| 32. Round | 18/05/1959 | NOAD Tilburg | - | AFC Ajax | 2:2 | ||||
| 33. Round | 24/05/1959 | AFC Ajax | - | Rapid JC Heerlen | 0:2 | ||||
| 34. Round | 31/05/1959 | NAC Breda | - | AFC Ajax | 2:4 | |
Netherlands