A gradient coil apparatus for magnetic resonance imaging system includes a plurality of gradient coils 11a, 11b and 11c for applying a gradient magnetic field to a test object and an internal heat exchanger 14 to be immersed in insulation oil 13 in a container 12. A pump 16 is disposed to circulate coolant between the internal heat exchanger 14 and an external heat exchanger 15 is disposed outside of the container 12. This arrangement allows the insulation oil only inside of the container, thereby ensuring a substantial reduction in the amount of insulation oil.