When maneuvering a vehicle, due to the seated position of the driver, the problem arises that a large portion of the space to the rear of the vehicle to be observed is hidden by the vehicle body itself. Therefore, the vehicle driver is presented with a display of a camera image of the space to the rear of the vehicle with a perspective overlay of the driving path and/or the towing path of the vehicle (1). Said driver support system is configured such that it is also suitable for guiding a vehicle or vehicle combination (1) in which the trailer comprises a plurality of vehicle elements (2, 3) that are bendable relative to one another. In order to detect the steering angle (7) of at least one steerable axis (6) of the vehicle (1), and in order to determine the bending angle (5) between at least two vehicle elements (2, 3) bendable relative to one another, sensors are provided. Using the data regarding the steering and bending angles (5, 7) and taking into account at least the geometry of the vehicle (1), the future driving path of the vehicle (1) is predicted in the processor module for the limits of the driving path and/or towing path and is superimposed on the image data captured by the camera. The image data thus processed is then displayed to the driver of the vehicle (1) on a display as a maneuvering aid.