The composition of the suborder Polycoeliina is considered. This suborder includes mostly solitary corals, but colonial forms also occur. Mostly, they are small fasciculate colonies. Sometimes, only two or three offsets are developed. The basic· mode of reproduction Is intramural (lateral) Increase, sometimes - intracaliclnal offsetting and occasional division. Solitary and colonial coralites may be found within a single species. Offsetting in Lower Permian Calophyllum dobrolyubovae, in Upper Permian G. kabakovitchae and in Lower Carboniferous Pentaphyllum dombartcum is described. Division is observed in the two last species. Intramural offsetting, intracalicinal offsetting, division and rejuvenescence have been compared. Relationship between septal intensity and type of offsetting has been shown.