| 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 |  |
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| 4. Round | 23/09/1978 | Espanyol Barcelona | - | Hércules CF | 2:1 | ||||
| 5. Round | 08/10/1978 | Hércules CF | - | FC Barcelona | 0:2 | ||||
| 6. Round | 15/10/1978 | Real Zaragoza | - | Hércules CF | 1:2 | ||||
| 7. Round | 22/10/1978 | Hércules CF | - | UD Las Palmas | 1:0 | ||||
| 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 | ||||
| 11. Round | 25/11/1978 | Hércules CF | - | Burgos CF | 1:0 | ||||
| 12. Round | 02/12/1978 | Sevilla FC | - | Hércules CF | 1:0 | ||||
| 13. Round | 16/12/1978 | Hércules CF | - | Recreativo Huelva | 2:0 | ||||
| 15. Round | 06/01/1979 | Hércules CF | - | RC Celta | 2:0 | ||||
| 16. Round | 13/01/1979 | Hércules CF | - | Valencia CF | 3:0 | ||||
| 17. Round | 20/01/1979 | Sporting Gijón | - | Hércules CF | 2:0 |
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