A method for determining the course of another vehicle in relation to one's own vehicle by measuring the position of the other vehicle in relation to one's own vehicle with a transmitter/receiver system, such as a radar system permits course determination both on straight and on bend segments. According to the method, the side location of the other vehicle and one's own vehicle is determined at a position where the other vehicle is level with one's own vehicle, by moving the front vehicle backwards in time and/or moving the rear vehicle forwards in time, on the basis of position measurements of the position of the other vehicle. The side location of the other vehicle is compared with the side location of one's own vehicle, by which a measure of the discrepancy between the course of the other vehicle and the course of one's own vehicle is obtained. According to the invention, the position where the other vehicle is level with one's own vehicle may be determined on the basis of the inertial speed vector of the other vehicle at one or more points in time.