The vehicle includes a horizontally placed compartment for one or several batteries lying parallel to each other, a robot includes a transport plane that can be extended and withdrawn in one direction, and displaced along two mutually perpendicular directions relative to the one direction. The vehicle takes up a predetermined location relative to the robot close to the cover, the robot determines via an optical element the position of the battery in the compartment, and displaces the transport plane to a predetermined position relative to the battery. A withdrawal member attaches to the battery and withdraws it from the compartment to the transport plane. The robot transports the battery to a charging station, and transports a charged battery from a store of charged batteries to the transport plane. A displacement element inserts the battery at a predetermined position into the compartment, and the cover is closed.