_- Acaulidae
- Asyncorynidae
- Australomedusidae
- Axoporidae
- Balellidae
- Boreohydridae
- Bougainvilliidae
- Bythotiaridae
- Candelabridae
- Cladocorynidae
- Cladonematidae
- Clathrozoellidae
- Cordylophoridae
- Corymorphidae
- Corynidae
- Cytaeididae
- Eucodoniidae
- Eudendriidae
- Halimedusidae
- Heterastridiidae
- Heterotentaculidae
- Hydractiniidae
- Hydrichthyidae
- Hydridae
- Hydrocorynidae
- Margelopsidae
- Milleporidae
- Moerisiidae
- Niobiidae
- Oceaniidae
- Pandeidae
- Pennariidae
- Porpitidae
- Proboscidactylidae
- Protiaridae
- Protohydridae
- Ptilocodiidae
- Rathkeidae
- Rhysiidae
- Rosalindidae
- Solanderiidae
- Sphaerocorynidae
- Stylasteridae
- Trichydridae
- Tricyclusidae
- Tubulariidae
- Zancleidae
- Zancleopsidae