Phylum Bryophyta A.Braun (1864) - bryophytes
Class Bryopsida McClatchie (1897) - mosses
Subclass Bryidae Engl. (1892) - mosses
Superorder Hypnanae W.R.Buck & Goffinet, 2000, nom. inval.
see 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
03 Family Amblystegiaceae G.Roth
04 Family Cratoneuraceae Mönk.
see Family Amblystegiaceae G.Roth
05 Family Helodiaceae Ochyra
06 Family Hylocomiaceae M. Fleisch.
07 Family Rhytidiaceae Broth.
08 Family Leskeaceae Schimp.
09 Family Regmatodontaceae Broth.
10 Family Pterigynandraceae Schimp.
11 Family Rigodiaceae H.A. Crum (1984)
see Family Lembophyllaceae Broth.
12 Family Thuidiaceae Schimp.
13 Family Campyliaceae (Kanda, 1975[1976]) W.R.Buck, in W.R.Buck & Goffinet, in A.J.Shaw & Goffinet, eds. (2000)
see Family Amblystegiaceae G.Roth
14 Family Brachytheciaceae G.Roth
15 Family Stereophyllaceae W.R.Buck & Ireland
16 Family Myriniaceae Schimp.
17 Family Fabroniaceae Schimp.
18 Family Meteoriaceae Kindb.
19 Family Plagiotheciaceae M. Fleisch.
20 Family Fontinalaceae Schimp.
21 Family Entodontaceae Kindb. (1897), nom. cons.
22 Family Climaciaceae Kindb.
23 Family Pleuroziopsidaceae Ireland (1968)
see Family Climaciaceae Kindb.
24 Family Hypnaceae Schimp.
25 Family Catagoniaceae W.R.Buck & Ireland
26 Family Symphyodontaceae M. Fleisch.
27 Family Sematophyllaceae Broth. (1905), nom. cons.
28 Family Hydropogonaceae W.H. Welch
see Family Sematophyllaceae Broth. (1905), nom. cons.
29 Family Myuriaceae M. Fleisch.
30 Family Cryphaeaceae Schimp.
31 Family Prionodontaceae Broth.
32 Family Leucodontaceae Schimp.
33 Family Pterobryaceae Kindb.
34 Family Phyllogoniaceae Kindb.
35 Family Orthorrhynchiaceae S.H. Lin
36 Family Lepyrodontaceae Broth.
37 Family Neckeraceae Schimp.
38 Family Echinodiaceae Broth.
39 Family Leptodontaceae Schimp.
40 Family Lembophyllaceae Broth.
41 Family Anomodontaceae Kindb.
42 Family Theliaceae M. Fleisch.
43 Family Microtheciellaceae H.A. Mill. & A.J.Harr. (1977)
44 Family Sorapillaceae M. Fleisch.