Phylum Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subphylum Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (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 Congruentidiaceae J. Schiller (1935), nom. rej. see Family Protoperidiniaceae Balech (1988), nom. cons.
               Subfamily Diplopsalioideae Abé (1981) see Family Diplopsaliaceae Matsuoka (1988)
                 01 Genus Diplopsalis Bergh (1882)
                 02 Genus Boreadinium J.D. Dodge & H.B. Hermes (1981)
                 03 Genus Diplopelta F. Stein ex Jørg. (1912)
                 04 Genus Diplopsalopsis Meunier (1910)
                 05 Genus Dissodium T.H. Abé (1941)
                 06 Genus †Dubridinium Reid (1977)
                 07 Genus Gotoius T.H. Abé ex Matsuoka (1988)
                 08 Genus Kolkwitziella Er. Lindem. (1919) see Genus Diplopsalis Bergh (1882)
                 09 Genus Lebouraia T.H. Abé ex Sournia (1986)
                 10 Genus Oblea Balech ex Loebl. & A.R. Loebl. (1966)
                 11 Genus Preperidinium L. Mangin (1913)