Abstract: A planetary roller screw drive for a steering actuator includes a screw spindle and a planetary roller assembly arranged thereon. The planetary roller assembly includes a roller body, planetary rollers arranged between the screw spindle and the roller body and which mesh with the screw spindle and with the roller body. A planetary roller carrier holds the planetary rollers. A drive pulley is connected for conjoint rotation with the planetary roller carrier and is rotatably mountable on a housing via first and second radial bearings. These radial bearings include respective inner race rings that are located on the drive pulley. First and second face plates are located at axial end regions of the drive pulley, and the face plates are rotationally fixed to respective inner race rings. The face plates are also rotationally fixed to the planetary roller carrier. An assembly method is also provided.