A small gap is formed between a worm shaft 3 and a second bearing 20, so that the worm shaft can be tilted relative to the inner ring 20a of the second bearing 20 without fail when preloaded by a torsion spring 14. An elastic member 41 is provided in at least portion of a circumferential groove 40 in the small gap. The worm shaft 3 and the inner ring 20a of the second bearing 20 are not in contact with each other, and their metallic clank in the small gap can be prevented. By providing a projecting portion(s) 3b on one side or both sides, with respect to the axial direction, of the circumferential groove 40, the small gap between the worm shaft 3 and the inner ring 20a of the second bearing 20 can be made large, and it is possible to enlarge the range over which the worm shaft 3 can swing.