An electromechanical linear-motion actuator includes a rotary shaft, a stationary outer race member, and planetary rollers between the rotary shaft and the outer race member to rotate about their own axes and revolve around the rotary shaft axis. A helical rib is on the radially inner surface of the outer race member or the radially outer surface of the rotary shaft. A helical groove or circumferential grooves are formed in a radially outer surface of each of the planetary rollers in which the helical rib is engaged. A planetary carrier axially faces the planetary rollers, and thrust ball bearings are between the planetary carrier and the respective planetary rollers 16 for preventing rotation of the respective planetary rollers 16 from being transmitted to the planetary carrier 17. Each of the thrust ball bearings comprises a raceway formed on an axial end surface of the corresponding planetary roller.