A cooling apparatus for a vehicle, may include an electric air compression pump generating compressed air using battery power of the vehicle, a main compressed air tank storing the compressed air generated by the electric air compression pump, a compressed air control valve fluid-connected to the main compressed air tank and controlling the compressed air to be discharged to a radiator when a temperature of cooling water flowing through the radiator exceeds a predetermined value, and an air amplification induction device disposed in front of the radiator and fluid-connected to the compressed air control valve, wherein the air amplification induction device induces compressed air discharged from the compressed air control valve, along an inner circumference of the air amplification induction device, such that the compressed air discharged from the compressed air control valve may be injected to the radiator.