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 Pfiesteriaceae Steid. & J.M. Burkh. (1996) see Family Oodiniaceae Chatton (1920)
               1 Genus Pfiesteria Steid. & J.M. Burkh. (1996)
               2 Genus Chimonodinium Craveiro, Calado, Daugbjerg, Gert Hansen & Moestrup (2011)
               3 Genus Cryptoperidiniopsis Steid., Landsberg, P.L. Mason, Vogelbein, P.A. Tester & Litaker (2006)
               4 Genus Luciella P.L. Mason, Jeong, Litaker, Reece & Steid. (2007)
               5 Genus Pseudopfiesteria Litaker, Steid., P.L. Mason, Shields & P.A. Tester (2005)
               6 Genus Stoeckeria H.J. Jeong, Jae S. Kim, J.Y. Park, Jong H. Kim, Sang Kim, I. Lee, Seung H. Lee, J.H. Ha & W.H. Yih (2005), incertae sedis
               7 Genus Tyrannodinium Calado, Craveiro, Daugbjerg & Moestrup (2009)