Kingdom Chlorobiota C.Jeffrey ex Doweld (2001) - plants see Subkingdom Viridiplantae Caval.-Sm. (1981)
   Subkingdom Bryobiotina Campb. (1890)
     Division Bryophyta A.Braun (1864) - mosses and liverworts see Phylum Bryophyta A.Braun (1864)
       Subdivision Bryophytina Engl. (1892) see Subphylum Bryophytina Engl. (1892)
         Class Bryopsida McClatchie (1897) - mosses
           Subclass Bryidae Engl. (1892) - mosses
             Superorder Hypnanae W.R.Buck & Goffinet ex W.R. Buck, C.J. Cox, A.J. Shaw & Goffinet (2005)
               Order Hypnales W.R. Buck & Vitt
                 01 Family Rutenbergiaceae M. Fleisch.
                 02 Family Trachylomataceae W.R.Buck & Vitt [monotypic]
                 03 Family Rhizofabroniaceae Huttunen, Ignatov, D.Quandt & Hedenäs (2013) [monotypic]
                 04 Family Fontinalaceae Schimp.
                 05 Family Climaciaceae Kindb.
                 06 Family Amblystegiaceae G.Roth
                 07 Family Calliergonaceae Vanderp., Hedenäs, C.J.Cox & A.J.Shaw (2002)
                 08 Family Helodiaceae Ochyra
                 09 Family Leskeaceae Schimp.
                 10 Family Thuidiaceae Schimp.
                 11 Family Regmatodontaceae Broth.
                 12 Family Stereophyllaceae W.R.Buck & Ireland
                 13 Family Brachytheciaceae G.Roth
                 14 Family Meteoriaceae Kindb.
                 15 Family Myriniaceae Schimp.
                 16 Family Fabroniaceae Schimp.
                 17 Family Hypnaceae Schimp.
                 18 Family Catagoniaceae W.R.Buck & Ireland [monotypic]
                 19 Family Pterigynandraceae Schimp.
                 20 Family Hylocomiaceae M. Fleisch.
                 21 Family Rhytidiaceae Broth. [monotypic]
                 22 Family Symphyodontaceae M. Fleisch.
                 23 Family Plagiotheciaceae M. Fleisch.
                 24 Family Entodontaceae Kindb. (1897), nom. cons.
                 25 Family Pylaisiadelphaceae Goffinet & W.R.Buck (2004)
                 26 Family Sematophyllaceae Broth. (1905), nom. cons.
                 27 Family Cryphaeaceae Schimp.
                 28 Family Prionodontaceae Broth. [monotypic]
                 29 Family Leucodontaceae Schimp.
                 30 Family Pterobryaceae Kindb.
                 31 Family Phyllogoniaceae Kindb. [monotypic]
                 32 Family Orthorrhynchiaceae S.H. Lin [monotypic]
                 33 Family Lepyrodontaceae Broth. [monotypic]
                 34 Family Neckeraceae Schimp.
                 35 Family Echinodiaceae Broth. [monotypic]
                 36 Family Leptodontaceae Schimp.
                 37 Family Lembophyllaceae Broth.
                 38 Family Myuriaceae M. Fleisch.
                 39 Family Anomodontaceae Kindb.
                 40 Family Miyabeaceae Enroth, S. Olsson, Buchb., Hedenäs, Huttunen & D. Quandt (2009)
                 41 Family Theliaceae M. Fleisch. [monotypic]
                 42 Family Microtheciellaceae H.A. Mill. & A.J.Harr. (1977) [monotypic]
                 43 Family Sorapillaceae M. Fleisch. [monotypic]