| Common Name | Scientific name |
|---|---|
| Hawaiian Petrel | Pterodroma sandwichensis |
| Hawaiian Rail | Zapornia sandwichensis |
| Hawfinch | Coccothraustes coccothraustes |
| Hazel Grouse | Tetrastes bonasia |
| Heermann's Gull | Larus heermanni |
| Heliocarpus popayanensis | Heliocarpus popayanensis |
| Helmeted Guineafowl | Numida meleagris |
| Hen Harrier | Circus cyaneus |
| Henslow's Sparrow | Ammodramus henslowii |
| Hepatic Tanager | Piranga flava |
| Herald Petrel | Pterodroma heraldica |
| Hermit Thrush | Catharus guttatus |
| Hermit Warbler | Setophaga occidentalis |
| Hieronyma | Hieronyma sp. |
| Highland Guan | Penelopina nigra |
| Highland Tinamou | Nothocercus bonapartei |
| Hill Myna | Gracula religiosa |
| Himalayan Snowcock | Tetraogallus himalayensis |
| Hispaniolan Crossbill | Loxia megaplaga |
| Hispaniolan Emerald | Chlorostilbon swainsonii |
| Hispaniolan Lizard-Cuckoo | Coccyzus longirostris |
| Hispaniolan Oriole | Icterus dominicensis |
| Hispaniolan Parakeet | Psittacara chloropterus |
| Hispaniolan Parrot | Amazona ventralis |
| Hispaniolan Pewee | Contopus hispaniolensis |
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