Movement of magnets due to centrifugal force is restricted. In a permanent magnet rotating electrical machine 100 having a stator 1 and a rotor core 5 provided with a plurality of permanent magnets 3 inserted in an outer circumferential portion of the rotor 5, each permanent magnet 3 has inclined surfaces on the outer circumferential side of the rotor 2 and the thinnest portions of the inclined surfaces are adjacent to permanent magnets of the opposite polarity. Further, each magnet 3 has a convex-shaped cross section and is divided into two magnet segments 3, 3. A magnetic pole bridge 15 is formed at the boundary of the permanent magnet segments 3, 3. Thus, movement of the permanent magnet segments 3, 3 due to centrifugal force is firmly restricted, and the peeling off of the rotor core 5 and the permanent magnet segments 3, 3 from each other is prevented.