What is the home of a horse called?

Horses can be kept in many places. If a horse is kept indoors, the 'home' is called the stable or a box. The horse can also live in a stall indoors and this is very similar to a stable, but usually is smaller and contains no Windows. Stalls are usually only used temporarily.

Outdoors, horses live in pastures/fields, normally with other horses as they are herd animals.