A cooling system and method for cooling superconducting magnet coils are provided. One magnet system for a superconducting magnet device includes a cooling system having at least one coil support shell, a plurality of superconducting magnet coils supported by the at least one coil support shell and a plurality of cooling tubes thermally coupled to the at least one coil support shell. The magnet system also includes a cryorefrigerator system fluidly coupled with the plurality of cooling tubes forming a closed circulation cooling system.