A cooling device for an internal combustion engine is installed in a motor vehicle, especially in a passenger car. The cooling device has several radiators, which are disposed in a front section of the passenger car and connected over pipelines with the internal combustion engine. For reasons of space and to improve the effect, the cooling device in the front section, comprises a radiator, which extends transversely to the longitudinal direction of the vehicle, and two lateral radiators, which extend obliquely to a longitudinal central plane. Through the agency of a collecting device with cooling water outlet pipelines, the radiators are connected to a common supplying pipeline, which is connected with the internal combustion engine. Moreover, downstream from the internal combustion engine, there is a returning pipeline, which is connected with a branching device, from which the cooling water-returning pipelines lead to the radiators.