†Asaphestera Steen 1934
Alternative spelling: Asaphestra
Parent taxon: Lepospondyli according to H. C. Maddin et al. 2012
Sister taxa: Acherontiscidae, Adelogyrinidae, Adelogyrinus, Aistopoda, Brachydectes, Diplocaulidae, Euryodus, Lysorophia, Microbrachis, Microsauria, Nectridea, Pantylus, Rhynchonkos, Saxonerpeton, Stegotretus, Utaherpeton
Subtaxa: Asaphestera intermedia