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)
         1 Family Kofoidiniaceae F.J.R. Taylor (1976)
         2 Family Leptodiscaceae Kof. (1905)
         3 Family Noctilucaceae Kent (1881) [monotypic]