| Nombre científico | Nombre español | Orden | Familia | English name |
|---|---|---|---|---|
| H | ||||
| Haematopus ostralegus | Ostrero | Charadriiformes | Haematopodidae | Oystercatcher |
| Haliaeetus albicilla | Pigargo europeo | Falconiformes | Accipitridae | White-tailed Eagle |
| Hieraaetus pennatus | Águila calzada | Falconiformes | Accipitridae | Booted Eagle |
| Hieraetus fasciatus | Águila perdicera | Falconiformes | Accipitridae | Bonelli's Eagle |
| Himantopus himantopus | Cigüeñuela | Charadriiformes | Recurvirostridae | Black-winged Stilt |
| Hippolais icterina | Zarcero icterino | Passeriformes | Muscicapidae | Icterine Warbler |
| Hippolais pallida | Zarcero pálido | Passeriformes | Muscicapidae | Olivaceous Warbler |
| Hippolais polyglotta | Zarcero común | Passeriformes | Muscicapidae | Melodious Warbler |
| Hirundo daurica | Golondrina dáurica | Passeriformes | Hirundinidae | Red-rumped Swallow |
| Hirundo rupestris | Avión roquero | Passeriformes | Hirundinidae | Crag Martin |
| Hirundo rustica | Golondrina común | Passeriformes | Hirundinidae | Swallow |
| Hydrobates pelagicus | Paíño europeo | Procellariiformes | Hydrobatidae | Storm Petrel |