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 Noctiluciphyceae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic]
       Order Noctilucales Haeckel (1894)
         Family Leptodiscaceae Kof. (1905)
           01 Genus Abedinium Loebl. & A.R. Loebl. (1966)
           02 Genus Cachonodinium A.R. Loebl. (1980)
           04 Genus Craspedotella Kof. (1905)
           05 Genus Cymbodinium Cachon & Cachon-Enj. (1967)
           07 Genus Leptodiscus Hertwig (1877)
           10 Genus Petalodinium Cachon & Cachon-Enj. (1969)
           12 Genus Scaphodinium Margalef (1963)