The method and device serve to continuously locate vehicles (LB) which contain a computer (IR) connected to a path data measuring unit which emits a measured value corresponding to the distance covered. The computer (IR) is further connected to a path data memory (CD) in which the route network to be traveled, the target stopping positions s of bus stops (H) with their mutual distances D and the stopping ranges d associated with the stops (H) are stored. On the basis of the data stored and at least one accuracy factor g corresponding to the path length measurement, the computer (IR) establishes the capture range f.sub.y of a stop (H.sub.y) on the traffic path and corrects the measured value w as soon as the vehicle (LB) stops and the measured value w lies in the dynamically determined capture range f.sub.y.