The ball screw apparatus includes a returning way L2 by mounting a circulating member 15 in mounted holes 16, 17 formed in the ball screw nut 13. The ball screw nut 13 includes a base portion 51 and an expanding portion 52. In the base portion 50 a distance from an axis center O1 of the rack shaft 3 to a bottom portion 14a of the nut side screw groove 14 is constant, and in the expanding portion 52 the distance is larger than that of the base portion 51. The expanding portion 52 includes a connecting area 34.