The present invention provides a permanent magnet rotating electric machine comprising a stator, a rotor having a rotor core and permanent magnets inserted into the rotor core, wherein the permanent magnets are shaped like an arc convex toward the stator and a flat surface facing toward the stator is provided at a tip end portion of each of the teeth of the stator. With such configuration, the distortion factor of the waveform of an induced voltage in the permanent magnet rotating electric machine.