- Hadada Ibis
- Hamerkop
- Harlequin Duck
- Harris's Hawk
- Hartlaub's Babbler
- Hartlaub's Gull
- Hartlaub's Turaco
- Helmeted Guineafowl
- Himalayan Swiftlet
- Hispaniolan Emerald
- Hispaniolan Lizard Cuckoo
- Hispaniolan Mango
- Hispaniolan Palm Crow
- Hispaniolan Parakeet
- Hispaniolan Woodpecker
- Hooded Crow
- Hooded Merganser
- Hooded Oriole
- Hooded Vulture
- Horned Grebe
- House Bunting
- House Crow
- House Sparrow
- House Wren
- House Wren (musculus)
- Hudsonian Whimbrel
- Hume's Wheatear
- Hyacinth Macaw