Clade Lepidosauria Haeckel 1866 [de Queiroz & Gauthier 2020]
see Subclass Lepidosauria Duméril & Bibron, 1839
Clade Rhynchocephalia Günther 1867 [Gauthier, Estes & de Queiroz 1988]
see Order Rhynchocephalia Günther, 1867
Clade Sphenodontia Williston 1925 [Evans 2003]
Clade Acrosphenodontia Chambi-Trowell, Martinelli, Whiteside, Romo de Vivar, Soares, Schultz, Gill, Benton & Rayfield 2021
Clade Eusphenodontia Herrera-Flores, Stubbs, Elsler & Benton 2018
Clade †Clevosauridae Fraser 1993 [Bonaparte & Sues 2006]
see Family Clevosauridae Fraser, 1993
Genus †Clevosaurus Swinton, 1939
1.1 †Clevosaurus convallis Säilä, 2005
1.2.1 †Clevosaurus brasiliensis Bonaparte & Sues, 2006
1.2.2 †Clevosaurus hadroprodon Hsiou et al., 2019
2.1 †Clevosaurus bairdi Sues et al., 1994
2.2.1 †Clevosaurus hudsoni Swinton, 1939
2.2.2 †Clevosaurus cambrica Keeble et al., 2018