| 4. Round | 09/09/1978 | AFC Ajax | - | PSV Eindhoven | 2:0 | ||||
| 22. Round | 25/03/1979 | AFC Ajax | - | FC Utrecht | 6:1 | ||||
| 24. Round | 07/04/1979 | AFC Ajax | - | MVV | 6:0 |  |
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| 19. Round | 10/04/1979 | Go Ahead Eagles | - | AFC Ajax | 1:2 | |
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| 26. Round | 21/04/1979 | AFC Ajax | - | SC NEC | 3:2 | ||||
| 28. Round | 12/05/1979 | AFC Ajax | - | Sparta Rotterdam | 1:0 | ||||
| 29. Round | 19/05/1979 | Roda JC Kerkrade | - | AFC Ajax | 1:3 | ||||
| 30. Round | 26/05/1979 | AFC Ajax | - | FC Den Haag | 4:1 |
Netherlands