A ball screw apparatus is provided with a screw shaft having a spiral ball screw groove, a nut member having a screw groove, and a plurality of balls. A smoothly continuous worked portion is formed at a portion of the screw groove by grinding a corner portion between the screw groove and a connecting way. The worked portion is formed such that the distance between the screw grooves is gradually reduced regarding an advancing direction of the ball entering from the connecting way in between the screw grooves. This worked portion extends from an end of the connecting way in a circumferential direction of the nut member and within a range of 90° from the corner portion along the circumferential direction of the nut member.