| 1. Round | 05/09/1971 | RC Celta | - | Atlético Madrid | 2:1 | ||||
| 2. Round | 12/09/1971 | Real Betis | - | RC Celta | 1:1 | ||||
| 3. Round | 19/09/1971 | Real Madrid | - | RC Celta | 3:0 | ||||
| 4. Round | 26/09/1971 | RC Celta | - | CE Sabadell | 0:1 | ||||
| 5. Round | 03/10/1971 | Athletic Club | - | RC Celta | 4:0 | ||||
| 6. Round | 10/10/1971 | RC Celta | - | Valencia CF | 1:3 | ||||
| 7. Round | 16/10/1971 | FC Barcelona | - | RC Celta | 1:0 | ||||
| 9. Round | 13/11/1971 | Deportivo La Coruña | - | RC Celta | 0:1 | ||||
| 10. Round | 20/11/1971 | RC Celta | - | Sevilla FC | 4:1 | ||||
| 11. Round | 27/11/1971 | Burgos CF | - | RC Celta | 3:2 | ||||
| 12. Round | 04/12/1971 | RC Celta | - | Córdoba CF | 2:0 | ||||
| 13. Round | 11/12/1971 | CD Málaga | - | RC Celta | 1:1 | ||||
| 14. Round | 18/12/1971 | RC Celta | - | Real Sociedad | 0:1 | ||||
| 15. Round | 01/01/1972 | Espanyol Barcelona | - | RC Celta | 1:0 |  |
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| 27. Round | 26/03/1972 | Sevilla FC | - | RC Celta | 4:0 | ||||
| 32. Round | 30/04/1972 | RC Celta | - | Espanyol Barcelona | 4:2 | ||||
| 33. Round | 06/05/1972 | UD Las Palmas | - | RC Celta | 1:1 | ||||
| 34. Round | 14/05/1972 | RC Celta | - | Sporting Gijón | 2:2 |
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