Abstract: Disclosed is a construction of a fan shroud for a fan assembly in an internal combustion engine. The fan shroud operates to direct a flow of air generated by the rotation of the fan so that the flow is effectively passed through the radiator core. The fan shroud has an upper portion which is located above the level of the radiator core. The upper portion has, at the end facing the engine body a cut out portion which operates to decrease the amount of air flow passed through the shroud at a position located above the level of the radiator core. It is thus possible to obtain a fan apparatus of low operational noise, which can operate to generate a sufficient amount of flow of air passed through the radiator core for cooling the engine.