<p>The air conditioning system with a cooling medium accumulator is especially for a motor vehicle with a cooling medium circuit which has an evaporator serving for the cooling of conditioned air for the interior of the motor vehicle. The cooling medium accumulator is provided in the region of at least one collecting receptacle (6) and/or in the region of cooling medium lines which are provided on the evaporator and serve as the cooling medium supply for the evaporator.</p>