Abstract: A steering spindle for a motor vehicle has a plug-in connection in which a splined shaft profile extends axially and is arranged at the end of a shaft, and a receiving tube which receives the splined shaft profile and is provided along its inner circumference with a corresponding splined hub profile. Furthermore, the steering spindle has, in the region of the plug-in connection, a plastic layer which extends at least along certain axial regions and fills clearances between the inner wall of the receiving tube and the splined shaft profile. The splines of the one part, arranged in the region of the receiving tube, are formed uninterruptedly in the axial direction and are an undersized portion in the circumferential direction with respect to the grooves of the other part. The splines of the one part are provided with the plastic layer of elastomeric plastic bridging this undersize portion.