A tractor/trailer combination wherein a trailer is connected to a tractor through the connection of a kingpin with a fifth wheel is provided with a trailer steering system. Using given dimensions of the tractor/trailer combination and a measured articulation angle between the tractor and trailer during a turn, the wheels of the rear axles of the trailer are turned so that they turn approximately about the instant center established for the tractor. In this way, the trailer turns around approximately the same point as does the tractor, thus significantly eliminating off tracking.