Division Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subdivision Syndinia [monotypic]
     Class Syndiniophyceae A.R. Loebl. (1976) [monotypic] see Class Syndinea Chatton, 1920
       Order Syndiniales A.R. Loebl. (1976)
         Family Sphaeriparaceae A.R. Loebl. (1970)
           1 Genus Atlanticellodinium Cachon & Cachon-Enj. (1965)
           5 Genus Sphaeripara Poche (1911)