| 1. Round | 05/09/1971 | RC Celta | - | Atlético Madrid | 2:1 |  |
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| 2. Round | 12/09/1971 | Real Betis | - | RC Celta | 1:1 | ||||
| 3. Round | 19/09/1971 | Real Madrid | - | RC Celta | 3:0 |  |
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| 4. Round | 26/09/1971 | RC Celta | - | CE Sabadell | 0:1 |  |
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| 6. Round | 10/10/1971 | RC Celta | - | Valencia CF | 1:3 | |
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| 7. Round | 16/10/1971 | FC Barcelona | - | RC Celta | 1:0 | ||||
| 8. Round | 31/10/1971 | RC Celta | - | Granada CF | 0:0 | ||||
| 9. Round | 13/11/1971 | Deportivo La Coruña | - | RC Celta | 0:1 | ||||
| 10. Round | 20/11/1971 | RC Celta | - | Sevilla FC | 4:1 | ||||
| 20. Round | 05/02/1972 | RC Celta | - | Real Madrid | 1:1 | ||||
| 21. Round | 12/02/1972 | CE Sabadell | - | RC Celta | 1:1 | |
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| 22. Round | 19/02/1972 | RC Celta | - | Athletic Club | 2:0 | ||||
| 23. Round | 26/02/1972 | Valencia CF | - | RC Celta | 4:0 | ||||
| 24. Round | 04/03/1972 | RC Celta | - | FC Barcelona | 1:2 | ||||
| 25. Round | 11/03/1972 | Granada CF | - | RC Celta | 0:0 | ||||
| 26. Round | 18/03/1972 | RC Celta | - | Deportivo La Coruña | 3:1 | ||||
| 27. Round | 26/03/1972 | Sevilla FC | - | RC Celta | 4:0 | ||||
| 34. Round | 14/05/1972 | RC Celta | - | Sporting Gijón | 2:2 | |
Spain