Division Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subdivision Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Superclass Dinokaryota Fensome et al., 1993
     Class Dinophyceae Pascher (1914)
       Subclass Peridiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Order Peridiniales Haeckel (1894)
           Suborder Peridiniineae Poche (1913) see Order Peridiniales Haeckel (1894)
             Family Peridiniaceae Ehrenb. (1831)
               Subfamily †Ovoidinioideae Bujak & Davies (1983)
                 01 Genus †Ascodinium Cookson & Eisenack (1960)
                 02 Genus †Bohaidina Jiabo (1978)
                 04 Genus †Bosedinia He (1984)
                 05 Genus †Cepadinium Duxbury (1983)
                 06 Genus †Corculodinium Batten & Lister (1988)
                 07 Genus †Craspedodinium Cookson & Eisenack (1974)
                 08 Genus †Epelidosphaeridia Davey (1969)
                 10 Genus †Holmwoodinium Batten (1985)
                 11 Genus †Huanghedinium Zhu, He & Jin (1989)
                 12 Genus †Leberidocysta Stover & Evitt (1978)
                 13 Genus †Ovoidinium Davey (1970)
                 14 Genus †Parabohaidina Jiabo (1978)
                 15 Genus †Paraperidinium Jin, He & Zhu (1989)
                 17 Genus †Prominangularia Jiabo (1978)
                 18 Genus †Ripea Batten (1985)