Pachydermata (from two Greek words παχύς pachys, "thick" and δερμα derma, "skin", meaning 'thick skin') is an obsolete order of mammals described by Gottlieb Storr, Georges Cuvier and others, at one time recognized by many systematists. Because it is polyphyletic, the order is no longer in use, but it is important in the history of systematics.

Cuvier's Pachydermata included the three families of mammals he called Proboscidiana, Pachydermata Ordinaria, and Solipedes, all herbivorous. They are now divided into the Proboscidea, represented among living species only by three species of elephants; the Perissodactyla, or odd-toed ungulates, including horses, tapirs and rhinoceroses; the Suina, or pigs and peccaries; the Hippopotamidae; and the Hyracoidea, or hyraxes.

Cuvier himself defined Pachydermata as "animals with hoofs, nonruminants", whereas Storr had described it as "mammals with hoofs with more than two toes". Cuvier added horses to the order. One naturalist has speculated that -