| 3. Round | 20/09/1980 | Sevilla FC | - | Real Madrid | 2:0 | ||||
| 4. Round | 27/09/1980 | Real Madrid | - | Real Murcia | 4:0 | ||||
| 6. Round | 12/10/1980 | Real Madrid | - | Sporting Gijón | 1:0 | ||||
| 7. Round | 18/10/1980 | Valencia CF | - | Real Madrid | 2:1 | ||||
| 11. Round | 15/11/1980 | Real Betis | - | Real Madrid | 1:1 |  |
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| 12. Round | 22/11/1980 | Real Madrid | - | Hércules CF | 3:0 |  |
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| 13. Round | 29/11/1980 | FC Barcelona | - | Real Madrid | 2:1 | ||||
| 15. Round | 13/12/1980 | Real Zaragoza | - | Real Madrid | 0:0 | ||||
| 25. Round | 21/02/1981 | CA Osasuna | - | Real Madrid | 1:2 | |
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| 26. Round | 27/02/1981 | Real Madrid | - | UD Las Palmas | 3:0 | ||||
| 27. Round | 07/03/1981 | Real Sociedad | - | Real Madrid | 3:1 | ||||
| 28. Round | 14/03/1981 | Real Madrid | - | Real Betis | 4:2 | |
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| 29. Round | 21/03/1981 | Hércules CF | - | Real Madrid | 1:2 | ||||
| 30. Round | 28/03/1981 | Real Madrid | - | FC Barcelona | 3:0 | ||||
| 31. Round | 03/04/1981 | UD Salamanca | - | Real Madrid | 1:3 | ||||
| 32. Round | 11/04/1981 | Real Madrid | - | Real Zaragoza | 2:0 | ||||
| 34. Round | 25/04/1981 | Real Valladolid | - | Real Madrid | 1:3 |
Spain