| 1. Round | 02/09/1973 | RC Celta | - | Athletic Club | 2:1 | ||||
| 2. Round | 09/09/1973 | Real Zaragoza | - | RC Celta | 2:1 | ||||
| 3. Round | 16/09/1973 | RC Celta | - | FC Barcelona | 2:1 | ||||
| 4. Round | 22/09/1973 | CD Málaga | - | RC Celta | 1:1 | ||||
| 5. Round | 30/09/1973 | RC Celta | - | Real Oviedo | 5:1 | ||||
| 6. Round | 07/10/1973 | Atlético Madrid | - | RC Celta | 2:0 | ||||
| 7. Round | 12/10/1973 | RC Celta | - | Valencia CF | 0:2 | ||||
| 8. Round | 27/10/1973 | UD Las Palmas | - | RC Celta | 1:0 | ||||
| 9. Round | 03/11/1973 | RC Celta | - | Elche CF | 1:0 | ||||
| 13. Round | 08/12/1973 | Real Sociedad | - | RC Celta | 2:1 | ||||
| 14. Round | 15/12/1973 | RC Celta | - | Real Madrid | 2:1 | ||||
| 15. Round | 22/12/1973 | CD Castellón | - | RC Celta | 1:1 | ||||
| 16. Round | 29/12/1973 | RC Celta | - | Granada CF | 1:0 | ||||
| 17. Round | 05/01/1974 | Real Murcia | - | RC Celta | 2:2 | ||||
| 18. Round | 12/01/1974 | Athletic Club | - | RC Celta | 2:0 | ||||
| 27. Round | 24/03/1974 | RC Celta | - | Racing Santander | 1:0 | ||||
| 29. Round | 07/04/1974 | Espanyol Barcelona | - | RC Celta | 1:0 | ||||
| 31. Round | 21/04/1974 | Real Madrid | - | RC Celta | 6:1 | ||||
| 33. Round | 05/05/1974 | Granada CF | - | RC Celta | 2:1 |
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