| 1. Round | 03/09/1978 | FC Barcelona | - | Racing Santander | 1:0 | ||||
| 2. Round | 10/09/1978 | Racing Santander | - | UD Las Palmas | 2:4 |  |
|||
| 3. Round | 17/09/1978 | Athletic Club | - | Racing Santander | 4:1 | |
|||
| 4. Round | 24/09/1978 | Racing Santander | - | Burgos CF | 2:2 | |
|||
| 5. Round | 08/10/1978 | Recreativo Huelva | - | Racing Santander | 2:1 |  |
|||
| 6. Round | 15/10/1978 | Racing Santander | - | RC Celta | 2:0 | ||||
| 7. Round | 22/10/1978 | Sporting Gijón | - | Racing Santander | 1:0 | ||||
| 8. Round | 30/10/1978 | Racing Santander | - | Atlético Madrid | 1:1 | |
|||
| 9. Round | 04/11/1978 | Espanyol Barcelona | - | Racing Santander | 2:3 | ||||
| 23. Round | 10/03/1979 | RC Celta | - | Racing Santander | 2:0 | ||||
| 24. Round | 17/03/1979 | Racing Santander | - | Sporting Gijón | 0:2 | ||||
| 25. Round | 25/03/1979 | Atlético Madrid | - | Racing Santander | 3:0 |
Spain