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 Dinophysiphycidae Möhn ex Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Order Dinophysiales Kof. (1926) see Order Dinophysales Er. Lindem. (1928)
           Family Dinophysiaceae Stein (1883) see Family Dinophysaceae F. Stein (1883)
             01 Genus Citharistes F. Stein (1883)
             03 Genus Dinofurcula Kof. & Skogsb. (1928)
             04 Genus Dinophysis Ehrenb. (1839)
             06 Genus Heteroschisma Kof. & Skogsb. (1928), nom. rej. see Genus Latifascia Loebl. & A.R. Loebl. (1966)
             07 Genus Histioneis F. Stein (1883)
             08 Genus Histiophysis Kof. & Skogsb. (1928)
             10 Genus Metadinophysis D.S. Nie & Chia C. Wang (1941)
             11 Genus Metaphalacroma L.S. Tai & Skogsb. (1934)
             12 Genus Ornithocercus F. Stein (1883)
             13 Genus †Palaeodinophysis Vozzhennikova & Sheshegova (1989)
             19 Genus Pseudophalacroma Jørg. ex Lebour (1925)
             20 Genus Sinophysis D.S. Nie & Chia C. Wang (1944)
             21 Genus †Ternia Helby & Stover (1987)
             22 Genus Thaumatodinium Böhm (1933)