A power steering system for a vehicle provided with means for actuating the a stop & start function in a moving vehicle, said vehicle being equipped with hybrid drive of the parallel type, comprising a thermal engine (1), an electric motor-generator (2), a single clutch unit (3) placed between the two engines, a transmission system (6) comprising an automated manual transmission, means for enabling a stop phase, activating the stop phase, maintaining of the stop phase, activation of a start phase, the system comprising a hybrid power steering with the coupling of a hydraulic power steering controlled by the thermal engine, and an electric power steering, controlled by an electrical power steering control system (EPS) so that, in a first mode, when a vehicle speed is higher than a threshold value said thermal engine is stopped and said hydraulic power steering is excluded, the electric power steering remaining active.