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| Common Name | Scientific Name | |
| Hairy Bittercress | Cardamine hirsuta | |
| Hairy Galinsoga | Galinsoga ciliata | |
| Hawksbeard, Smooth | Crepis capillaris | |
| Hawkweed, Mouseear | Hieracium pilosella | |
| Healall | Prunella vulgaris | |
| Hedge Bindweed | Calystegia sepium | |
| Hedge Mustard | Sisymbrium officinale | |
| Hemlock, Poison | Conium maculatum | |
| Hemp Dogbane | Apocynum cannabinum | |
| Hemp Sesbania | Sesbania exaltata | |
| Henbit | Lamium amplexicaule | |
| Hoary Plantain | Plantago virginica | |
| Honeysuckle, Japanese | Lonicera japonica | |
| Honeysuckle, Morrow's Bush | Lonicera morrowii | |
| Honeyvine Milkweed | Ampelamus albidus | |
| Hophornbeam Copperleaf | Acalypha ostryifolia | |
| Hops, Japanese | Humulus japonicus | |
| Horehound | Marrubium vulgare | |
| Hornwort | Ceratophyllum demersum | |
| Horsenettle | Solanum carolinense | |
| Horseweed | Conyza canadensis |
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