| 1. Round | 03/09/1978 | RC Celta | - | Espanyol Barcelona | 0:1 | ||||
| 2. Round | 10/09/1978 | Real Zaragoza | - | RC Celta | 2:1 | ||||
| 3. Round | 17/09/1978 | RC Celta | - | Real Sociedad | 1:0 | ||||
| 4. Round | 24/09/1978 | Rayo Vallecano | - | RC Celta | 2:0 | ||||
| 5. Round | 08/10/1978 | RC Celta | - | Sevilla FC | 1:1 | ||||
| 6. Round | 15/10/1978 | Racing Santander | - | RC Celta | 2:0 | ||||
| 10. Round | 18/11/1978 | FC Barcelona | - | RC Celta | 6:0 | ||||
| 11. Round | 25/11/1978 | RC Celta | - | UD Las Palmas | 1:2 | ||||
| 12. Round | 02/12/1978 | Athletic Club | - | RC Celta | 3:1 | ||||
| 14. Round | 30/12/1978 | Recreativo Huelva | - | RC Celta | 1:2 | ||||
| 15. Round | 06/01/1979 | Hércules CF | - | RC Celta | 2:0 | ||||
| 16. Round | 13/01/1979 | RC Celta | - | Sporting Gijón | 1:1 | ||||
| 17. Round | 20/01/1979 | Atlético Madrid | - | RC Celta | 4:0 | ||||
| 28. Round | 21/04/1979 | UD Las Palmas | - | RC Celta | 0:0 |  |
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| 29. Round | 29/04/1979 | RC Celta | - | Athletic Club | 0:0 |
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