| 1. Round | 03/09/1978 | Hércules CF | - | UD Salamanca | 1:0 | ||||
| 2. Round | 09/09/1978 | Atlético Madrid | - | Hércules CF | 3:0 | ||||
| 3. Round | 17/09/1978 | Hércules CF | - | Real Madrid | 1:2 | ||||
| 4. Round | 23/09/1978 | Espanyol Barcelona | - | Hércules CF | 2:1 |  |
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| 5. Round | 08/10/1978 | Hércules CF | - | FC Barcelona | 0:2 | ||||
| 6. Round | 15/10/1978 | Real Zaragoza | - | Hércules CF | 1:2 | ||||
| 8. Round | 29/10/1978 | Real Sociedad | - | Hércules CF | 2:1 | ||||
| 9. Round | 04/11/1978 | Hércules CF | - | Athletic Club | 0:1 | ||||
| 10. Round | 18/11/1978 | Rayo Vallecano | - | Hércules CF | 3:0 | |
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| 24. Round | 16/03/1979 | UD Las Palmas | - | Hércules CF | 2:1 | ||||
| 25. Round | 25/03/1979 | Hércules CF | - | Real Sociedad | 0:0 | ||||
| 26. Round | 07/04/1979 | Athletic Club | - | Hércules CF | 4:1 | ||||
| 28. Round | 22/04/1979 | Burgos CF | - | Hércules CF | 0:0 | ||||
| 29. Round | 29/04/1979 | Hércules CF | - | Sevilla FC | 1:0 | ||||
| 30. Round | 05/05/1979 | Recreativo Huelva | - | Hércules CF | 3:1 | ||||
| 31. Round | 13/05/1979 | Hércules CF | - | Racing Santander | 1:0 | |
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| 32. Round | 20/05/1979 | RC Celta | - | Hércules CF | 2:1 | ||||
| 33. Round | 27/05/1979 | Valencia CF | - | Hércules CF | 0:0 | ||||
| 34. Round | 02/06/1979 | Hércules CF | - | Sporting Gijón | 1:0 |
Spain