1. Round | 13/09/1959 | UD Las Palmas | - | Atlético Madrid | 0:3 | ||||
2. Round | 20/09/1959 | Real Betis | - | UD Las Palmas | 2:1 | ||||
3. Round | 27/09/1959 | UD Las Palmas | - | Sevilla FC | 2:1 | ||||
9. Round | 08/11/1959 | Real Valladolid | - | UD Las Palmas | 5:0 | ||||
17. Round | 10/01/1960 | UD Las Palmas | - | Real Betis | 1:2 |