Abstract: The carrier for conveying horses has a tub-like substructure (22) mounted on a chassis (20), the substructure being provided with a rear door for entry and exit. The substructure (22) is closed at the top by means of a roof (34). In order to provide a certain free field of vision for the horses in an obliquely forward-oriented direction and to prevent the horses from appreciating the limited interior space of the horse transport carrier when they enter, a lift device for elevating the roof (34) from the substructure (22) is provided between the substructure (22) and the roof (34). From the normal, closed position, the roof (34) can be elevated in desired increments to an elevated position providing a free space between the roof (34) and the substructure (22).