Phylum [Tracheophyta] Sinnott ex Caval.-Sm. (1998) - vascular plants
   Subphylum Polypodiophytina Reveal (1996) [monotypic]
     Class Polypodiopsida Cronquist, Takht. & Zimmerm. (1966) - ferns
       Subclass Polypodiidae Cronquist, Takht. & Zimmerm. (1966)
         Order Polypodiales Link (1833) - cathetogyrates
           (eupolypods)
             Suborder Aspleniineae H.Schneid. & C.J.Rothf. (2016)
               Family Blechnaceae Newman (1844) - blechnoids
                 Subfamily Blechnoideae Gasper, V. A. O. Dittrich & Salino
                   01 Genus Austroblechnum A.L. de Gasper & V.A. de O. Dittrich in A.L. de Gasper, V.A. de O. Dittrich, A.R. Smith & A. Salino (2016)
                   02 Genus Blechnidium Moore
                   03 Genus Blechnopsis Sect.Diafnia C.Presl
                   04 Genus Blechnum L. (1753)
                   05 Genus Brainea J.Sm. (1856)
                   06 Genus Cleistoblechnum A.L. de Gasper & A. Salino in A.L. de Gasper, V.A. de O. Dittrich, A.R. Smith & A. Salino (2016)
                   07 Genus Cranfillia A.L. de Gasper & V.A. de O. Dittrich in A.L. de Gasper, V.A. de O. Dittrich, A.R. Smith & A. Salino (2016)
                   08 Genus Diploblechnum Hayata
                   09 Genus Doodia R.Br. (1810)
                   10 Genus Icarus Gasper & Salino (2016)
                   11 Genus Lomaria Willd. (1809)
                   12 Genus Lomaridium C.Presl (1851)
                   13 Genus Lomariocycas (J. Smith) A.L. de Gasper & V.A. de O. Dittrich in A.L. de Gasper, V.A. de O. Dittrich, A.R. Smith & A. Salino (2016)
                   14 Genus Neoblechnum A.L. de Gasper & V.A. de O. Dittrich in A.L. de Gasper, V.A. de O. Dittrich, A.R. Smith & A. Salino (2016)
                   15 Genus Oceaniopteris A.L. de Gasper & A. Salino in A.L. de Gasper, V.A. de O. Dittrich, A.R. Smith & A. Salino (2016)
                   16 Genus Parablechnum C.Presl
                   17 Genus Sadleria Kaulf. (1824)
                   18 Genus Struthiopteris Scop.