The invention relates to a cooling system for a motor vehicle comprising a radiator (1) through which a coolant for, in particular, cooling an engine (2) flows, and which is flowed through by a cooling air flow (7) that is influenced by a fan (4) according to the velocity of the motor vehicle. Said fan is situated between the radiator (1) and the engine (2). The projection of the fan surface toward the radiator surface is smaller than the radiator surface by a difference area, whereby this difference area of the cooler surface is covered by a fan cowl (25). In order to create cooling system that is improved with regard to aerodynamics, the fan cowl (25) is provided with at least one opening (27) on at least one side of the difference area.