- Hadada Ibis
- Hamerkop
- Harpy Eagle
- Harris's Hawk
- Hawfinch
- Heermann's Gull
- Helmeted Guineafowl
- Helmeted Pygmy Tyrant
- Hildebrandt's Starling
- Himalayan Black-lored Tit
- Hispaniolan Amazon
- Hispaniolan Crossbill
- Hispaniolan Euphonia
- Hispaniolan Lizard Cuckoo
- Hispaniolan Mango
- Hispaniolan Parakeet
- Hispaniolan Pewee
- Hispaniolan Spindalis
- Hispaniolan Trogon
- Hispaniolan Woodpecker
- Hoatzin
- Holub's Golden Weaver
- Hooded Tanager
- Hooded Vulture
- Hook-billed Kite
- House Crow
- House Finch
- House Sparrow
- Hudsonian Whimbrel
- Humboldt Penguin