A superconducting rotating electrical machine has a rotor with superconducting windings and a stator disposed around the rotor. The stator has a number of teeth disposed at a regular interval about a rotational axis of the rotor to define slots each between adjacent teeth and a plurality of windings, each winding having a strip-like wire member, the wire member having a plurality of rectangular cross-section wires in which said rectangular wires are arranged in parallel to each other and electrically insulated away from each other, the winding being constructed by winding the strip-like wire member a plurality of times to have first and second winding portions having a cross section in which the rectangular wires are positioned in matrix.