An engine cooling apparatus includes an engine for vehicle traveling, a pump driven by the engine, a heat exchanger, a circulation passage for circulating cooling liquid between the engine and the heat exchanger by driving the pump, a solenoid valve capable of opening/closing the circulation passage, and a controller for controlling operations of the engine. The solenoid valve includes a valve body movable between a position away from a valve seat and a position contacting the valve seat and held to contact the valve seat and a solenoid capable of maintaining contact between the valve body and the valve seat in response to supply of power thereto. When driving of the pump under a non-energized state of the solenoid, the valve body is movable to the position away from the valve seat by the cooling liquid fluid pressure.