Abstract: An inductive guidance arrangement for non-track-bound vehicles on a vehicle supporting surface. Guidance conductors laid alongside the supporting surface carry an alternating current which generates an alternating magnetic field. The actual transverse position of the vehicle relative to the alternating magnetic field is continuously detected by aerial crossed coils arranged on the vehicle at a defined distance above the supporting surface. A controller and steering apparatus arranged on the vehicle detect the actual transverse position of the vehicle relative to a desired position, and generate a steering instruction, which eliminates transversal positional deviation. The guidance conductors are arranged parallel to one another at the same vertical position, with a mutual transverse spacing of approximately 50% of the vertical height of the aerial crossed coils above the supporting surface.