The present invention provides a system and method of predicting the initial cooling of a superconducting magnet, which can predict the change in initial cooling temperature of a superconducting magnet when the superconducting magnet is cooled using an ultra-low refrigerator. In the system and method, the change in cooling temperature of a superconducting magnet can be accurately predicted by classifying influence factors related to the cooling of a superconducting magnet into a plurality of control volumes and inducing a governing equation with respect to each of the control volumes. Based on this system and method, the reliability of basic data required to design an apparatus for measuring a high magnetic field for forming an ultralow-temperature environment can be greatly improved.