Phylum Bryophyta A.Braun (1864) - bryophytes
   Class Bryopsida McClatchie (1897) - mosses
     Subclass Bryidae Engl. (1892) - mosses
       Superorder Bryanae Goffinet & W.R. Buck
         Order Bryales Limpr.
           1 Family Aulacomniaceae Schimp.
           2 Family Bartramiaceae Schwägr.
           3 Family Orthodontiaceae Goffinet (2000)
           4 Family Bryaceae Schwägr.
           5 Family Phyllodrepaniaceae Crosby
           6 Family Pseudoditrichaceae Steere & Z.Iwats. (1974)
           7 Family Mniaceae Schwägr.
           8 Family Leptostomataceae Schwägr.