Leiocephalidae, also known as the curlytail lizards or curly-tailed lizards, is a family of iguanian lizards restricted to the West Indies. One of the defining features of these lizards is that their tail often curls over. They were previously regarded as members of the subfamily Leiocephalinae within the family Tropiduridae. There are presently 29 known species, all in the genus Leiocephalus.
Curlytail lizards are native to the West Indies, with the extant (living) species in the Bahamas, Turks and Caicos, Cayman Islands, Cuba, Hispaniola (Haiti and the Dominican Republic) and nearby small islands. Additionally, Leiocephalus carinatus and Leiocephalus schreibersii have been introduced to Florida.