A hydraulic power steering system for a vehicle includes a first, hydraulic actuator for making available steering power or auxiliary steering power for adjusting the steering angle of one or more steered wheels of the vehicle, and with a second electric actuator for making available a steering power or auxiliary steering power for adjusting the steering angle of the steered wheel. For a power steering system, for which the power dissipated is reduced and the operating temperature lowered, the first hydraulic actuator can be taken out of operation while the vehicle is being driven as a function of the trip and/or vehicle parameters.