Heteropsis pauper 
Heteropsis subsimilis 
Heterospila nigripalpis 
Heterostegane subtessellata 
Heteroteucha dichroella 
Heteroteucha occidua 
Hewitson's Bushbrown 
Hewitson's Hairstreak 
Hewitson's longwing 
Hewitson's olivewing 
Hewitson's Skipper 
Hewitsons Tiger 
Hexadactilia trilobata 
Hexamitoptera 
Hickory shoot borer 
Hickory tussock moth 
Hieroglyphic Moth 
High Brown Fritillary 
Hileithia rehamalis 
Hill Jezebel 
Himalayan jester 
Himmacia inflammata 
Himmelman's plume moth 
Hipparchia syriaca