An engine cooling system may include: a water pump for supplying coolant to an engine system; a plurality of coolant passages for connecting the water pump to individual constituent components of the engine system; a solenoid valve disposed between an outlet of the water pump and inlets of the coolant passages to integrally control a flow of coolant from the water pump to the coolant passages; and a control unit for controlling the solenoid valve. The inlets of the respective coolant passages are adjacent to each other side by side in a width direction of the outlet of the water pump. The inlets of the respective coolant passages are sequentially opened and closed by moving a spool of the solenoid valve in the width direction.