Abstract: This installation comprises at least one follower means moved and guided to follow the path of the racetrack at a variable speed which can correspond to a selected gait, such as the trot. Each follower means bears a directing device connected by a harness to one of the horses to be trained, so that the training of each horse, at the chosen gait, is done without the help of any rider. A drive means moves the follower means or the group of follower means. Each follower means may be a carriage traversing a guide. The guide means may be a fork whose branches are connected by a tie to the harness of the horse.