A cooling system for the cylinder head, the inlet manifold and/or the bearings of a turbo-compressor of a combustion engine with a liquid cooling circuit with a radiator, a thermostat and an electric fan as well as a circuit for the cooling of said cylinder head, the inlet manifold wherein the cylinder head and/or the inlet manifold and/or the bearings of a turbo-compressor to be cooled are incorporated in a cirucit (11) which is connected in series or parallel to the part of the engine liquid cooling circuit (6) between the cylinder head of the engine block (1) and the radiator (7).