A nut member which is rotated by power transmission from a motor in a rack housing is supported by a thrust bearing fitted and fixed in a first housing having an integrally formed fixing section for fastening to a vehicle body so that the nut member cannot move in both directions along an axial direction. Thrust loads applied in both directions to the nut member with the conversion of rotation into movement of a steering shaft in an axial direction are carried by the first housing through the thrust bearing. The structure of the connection section of the first housing and second housing is simplified, and the housing is fixed in a stable manner to prevent deterioration in steering feeling.