| 1. Round | 13/09/1970 | Real Zaragoza | - | CD Málaga | 0:0 | ||||
| 2. Round | 20/09/1970 | FC Barcelona | - | Real Zaragoza | 5:2 | ||||
| 3. Round | 27/09/1970 | Real Zaragoza | - | Atlético Madrid | 0:1 | ||||
| 4. Round | 04/10/1970 | Athletic Club | - | Real Zaragoza | 3:0 | ||||
| 5. Round | 11/10/1970 | Real Zaragoza | - | UD Las Palmas | 1:1 | ||||
| 6. Round | 18/10/1970 | Real Zaragoza | - | RC Celta | 0:0 | ||||
| 7. Round | 25/10/1970 | CE Sabadell | - | Real Zaragoza | 2:1 |  |
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| 8. Round | 01/11/1970 | Real Zaragoza | - | Elche CF | 1:1 | ||||
| 9. Round | 15/11/1970 | Espanyol Barcelona | - | Real Zaragoza | 0:0 | ||||
| 10. Round | 22/11/1970 | Real Zaragoza | - | Real Madrid | 0:5 | ||||
| 11. Round | 29/11/1970 | Valencia CF | - | Real Zaragoza | 2:0 | ||||
| 12. Round | 06/12/1970 | Real Zaragoza | - | Sevilla FC | 4:1 | |
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| 13. Round | 13/12/1970 | Granada CF | - | Real Zaragoza | 3:0 | ||||
| 18. Round | 17/01/1971 | Atlético Madrid | - | Real Zaragoza | 3:0 | ||||
| 19. Round | 24/01/1971 | Real Zaragoza | - | Athletic Club | 1:2 | ||||
| 20. Round | 31/01/1971 | UD Las Palmas | - | Real Zaragoza | 4:0 | ||||
| 22. Round | 14/02/1971 | Real Zaragoza | - | CE Sabadell | 3:1 | ||||
| 30. Round | 18/04/1971 | Real Zaragoza | - | Sporting Gijón | 0:0 |
Spain