The invention relates to a vehicle for transporting a load along a magnetizable wall, which vehicle is configured to be urged against the wall by magnetic forces, comprising a frame, at least four wheels bearing-mounted in the frame, a motor for driving at least one of the wheels, at least one magnet connected to the frame and load-bearing means for supporting the load, wherein at least four of the wheels are bearing-mounted in the frame at the corners of a rectangular structure and the magnet is placed inside the rectangular structure. Due to the placing of the magnet inside the rectangular structure the attractive force generated by the magnet is applied within the reactive forces generated by the at least four wheels, so that an inherent stability is obtained. The invention further relates to a device provided with such a vehicle and to a method to be performed with such a vehicle.