A permanent magnet rotating electric machine includes a rotor and a stator. The rotor includes: a permanent magnet forming a single pole within a rotor core of the rotor, the permanent magnet being divided into two divided permanent magnets; a connecting portion assuming an electrical steel sheet disposed between the two divided permanent magnets; and magnet insertion holes in which the permanent magnets are inserted. In the rotor, the magnet insertion holes are shaped to include: air gaps at both end portions in a width direction of the permanent magnet, each air gap being formed between a surface of the permanent magnet extending perpendicularly to the magnetization direction and a surface of the electrical steel sheet facing the surface of the permanent magnet; a shoulder portion disposed on the facing surface; and another air gap extending toward a rotor outside diameter side and the magnetic pole center side.