A vehicle radiator device having a radiator with a first tank and a second tank coupled through a heat radiation core. The radiator is mounted onto an engine in a power unit supported by a vehicle body frame. The first and second tanks of the radiator are made of synthetic resin. The radiator is mounted onto the engine through a shroud for conducting cooling wind passing through the radiator. The shroud is made of elastic material for conducting cooling so that vibrations of the engine are absorbed by the elasticity of the shroud, thus preventing vibration of the radiator.