An engine cooling apparatus configured to circulate cooling water between an engine and a radiator is provided. A cylinder is provided on an upper part of a crankcase in the engine and the radiator is configured to radiate heat of the cooling water that has passed through the engine. The engine cooling apparatus includes a water pump configured to eject cooling water toward the engine, and a thermostat configured to send cooling water to the radiator in response to a cooling water temperature. The water pump is attached to the crankcase from an outside in a vehicle width direction. The thermostat is attached to the water pump from an inside in the vehicle width direction. The thermostat overlaps the crankcase in a front view of the engine.