Hawaiian Beet Webworm 
Hednota grammellus 
Hednota pedionoma 
Heliothela didymospila 
Helvibotys helvialis 
Heortia vitessoides 
Herbivorous Pleuroptya Moth 
Herpetogramma abdominalis 
Herpetogramma ovialis 
Herpetogramma sphingealis 
Heterocnephes lymphatalis 
Hileithia rehamalis 
Hollow-spotted Blepharomastix Moth 
Hyalobathra illectalis 
Hyalobathra phoenicozona 
Hyalorista taeniolalis 
Hydrilla Leafcutter Moth 
Hydriris ornatalis 
Inornate pyrausta moth 
Ischnurges gratiosalis 
Ischnurges illustralis 
Jack Fruit Borer 
Jasmine moth 
Julia's Dicymolomia Moth