34 species of which 27 (79.4%) are endemic -
6 genera of which 2 (33.3%) are endemic
(as of December 31st, 2018).
The genera contained in this family were previously included in the family
Iguanidae (e.g., Peters & Donoso-Barros 1970). Separate family status was given by Frost & Etheridge (1989) as Polychridae, in which family they also included the genera later assigned to
Leiosauridae. Subsequently, the family name was corrected by Frost, Etheridge, Janies & Titus (2001) to
Polychrotidae, and they named a new family, Leiosauridae, for the genera now assigned to this family.