Class Dinophyceae Pascher (1914)
   Order Dinophysiales Kof. (1926) see Order Dinophysales Er. Lindem. (1928)
     1 Family Citharistaceae Kof. & Skogsb. (1928) see Family Dinophysaceae F. Stein (1883)
     2 Family Dinophysaceae F. Stein (1883)
     3 Family Oxyphysaceae Sournia (1984)