A rotary electric machine for a wind power turbine for generating electric power has a tubular stator having a plurality of stator segments; a tubular rotor which has a plurality of rotor segments, is located inside the tubular stator, and rotates about an axis of rotation with respect to the tubular stator; a sleeve located at least partly inside the tubular rotor and connectable to a supporting frame of the wind power turbine; and a bearing located inside and fixed to the sleeve, and which supports the tubular rotor rotating with respect to the sleeve.