A structure for attaching an electrically-operated power steering apparatus for a vehicle. The structure includes a body frame, more specifically, sub slant frames having respective motor brackets for supporting an actuator unit. The motor brackets have bolts that fasten the actuator unit, and the bolts extend perpendicularly to a steering shaft. With this configuration, the structure is not affected by a manufacturing error of a body frame and other parts of the vehicle. Further, the structure takes account of a direction in which fastening means is tightened.