A superconducting motor comprising a rotor with permanent magnets that is rotatable about a longitudinal axis, a stator outside the rotor and comprising a non-magnetic support cylinder and a ferromagnetic magnetic cylinder, wherein the support cylinder is passed through by several orifices, wherein, for each orifice, the magnetic cylinder has a cutout facing the orifice, for each pair of orifices, a coil that is made up of a superconducting material and that is wound by being accommodated in the orifices of the pair, and, for each cutout, a cooling system arranged in the cutout for cooling that portion of the coil which is accommodated in the orifice corresponding to the cutout.