The domestic horse/pony is scientifically classified as follows:

Phylum: Chordata
Class: Mammalia
Order: Perissodactyla
Family: Equidae
Species: Equus caballus

Perissodactyla means "odd toed" and rhinos and tapirs belong to this order as well as horses.

The Equidae family consists of horses, asses and zebras and there are 9 species within this genus and the domestic horse or pony is "Equus caballus". The Equidae family have a mane, 40-42 teeth, and skulls with long nasal bones. They are herd animals and fast runners prefering to flee from danger rather than face it. The Equidae family are herbivores.