A golf cart or caddy and a mobile transmitting device carried by a golf player are each provided with a receiving and evaluating device equipped with a computer for a satellite-controlled positioning system. The two receiving and evaluating devices calculate the respective positions of the golf player and the golf caddy from the signals cyclically received from the satellite system. The mobile transmitting device is provided with a high-frequency manual transmitter which transmits, also cyclically, the positions of the golf player to the golf caddy. The computer of the golf caddy calculates direction and distance of the golf player and stores the data up to the time when the caddy follows the stored path upon a signal. The golf caddy stops at a predetermined distance from the golf player. When a stationary reference transmitter is additionally used for correcting the position data of the golf player and the golf caddy received from the satellite system, specific areas of the golf course can be excluded as forbidden areas, so that these will not be traveled by the golf caddy.