| 16. Round | 04/01/1959 | Real Oviedo | - | Atlético Madrid | 2:1 | ||||
| 18. Round | 18/01/1959 | Real Sociedad | - | Atlético Madrid | 0:0 | ||||
| 19. Round | 25/01/1959 | Atlético Madrid | - | Granada CF | 4:0 | ||||
| 20. Round | 01/02/1959 | Sevilla FC | - | Atlético Madrid | 3:3 | ||||
| 21. Round | 08/02/1959 | Atlético Madrid | - | Athletic Club | 0:1 | ||||
| 22. Round | 15/02/1959 | Espanyol Barcelona | - | Atlético Madrid | 2:2 | ||||
| 26. Round | 22/03/1959 | CA Osasuna | - | Atlético Madrid | 3:1 | ||||
| 30. Round | 19/04/1959 | UD Las Palmas | - | Atlético Madrid | 2:2 |
Spain