A power steering system for automobiles using motors to increase a torque supplied by a driver to a steering axle and steering wheel to vary a longitudinal inclination of a steered wheel, wherein the steered wheel comprises a rim that incorporates a tyre, wherein the system comprises a body to which one or more motors are attached by corresponding supports of the motors, wherein the one or more motors move the steering axle for the steered wheel, wherein the steering axle is a shock absorber, one end of the shock absorber pivots on a first suspension arm, while the opposite end fits to the body at an upper part of the body and solidly to a lower part of the body on a transmission gearbox, a fixed circular crown gear to which driving pinions mesh, wherein each driving pinion is fitted to an end of a shaft of each corresponding motor, the crown gear being fixed to a lower cover of the transmission gearbox with the driving pinions rotating round the crown gear, making the entire body and steering axle of the wheel turn.