A rotor of a permanent-magnet embedded motor comprising: a rotor core provided with a plurality of magnet insertion holes along a circumferential direction; and a permanent magnet inserted into each of the magnet insertion holes to form a magnetic pole, wherein an air gap is formed at opposite ends of the magnet insertion hole in the circumferential direction at a time of inserting the permanent magnet therein, an outer peripheral face of the rotor core is formed by a first curved surface formed from a magnetic pole center to between poles, with a radial distance from a shaft center of the rotor core being largest at the magnetic pole center on the outer peripheral face, and a second curved surface formed from an interpolar portion toward the magnetic pole center to intersect with the first curved surface, with the radial distance from the shaft center of the rotor core being smallest in the interpolar portion on the outer peripheral face, and wherein length of the first curved surface is larger than a length of the second curved surface, wherein the first curved surface is formed by a circular arc surface with a radius being a radial distance from the shaft center of the rotor core at a center between the poles on the outer peripheral face and a center of the radius being the shaft center of the rotor core, in a predetermined section formed from the magnetic pole center on the outer peripheral face to between the poles, wherein a radius of the second curved surface is smaller than a radius of a circular arc surface of the first curved surface in the predetermined section, and wherein a radius of the first curved surface in a section from an end of the predetermined section until intersecting with the second curved surface is smaller than a radius of a circular arc surface constituting the second curved surface. a rotor core provided with a plurality of magnet insertion holes along a circumferential direction; and a permanent magnet inserted into each of the magnet insertion holes to form a magnetic pole, wherein an air gap is formed at opposite ends of the magnet insertion hole in the circumferential direction at a time of inserting the permanent magnet therein, an outer peripheral face of the rotor core is formed by a first curved surface formed from a magnetic pole center to between poles, with a radial distance from a shaft center of the rotor core being largest at the magnetic pole center on the outer peripheral face, and a second curved surface formed from an interpolar portion toward the magnetic pole center to intersect with the first curved surface, with the radial distance from the shaft center of the rotor core being smallest in the interpolar portion on the outer peripheral face, and wherein length of the first curved surface is larger than a length of the second curved surface, wherein the first curved surface is formed by a circular arc surface with a radius being a radial distance from the shaft center of the rotor core at a center between the poles on the outer peripheral face and a center of the radius being the shaft center of the rotor core, in a predetermined section formed from the magnetic pole center on the outer peripheral face to between the poles, wherein a radius of the second curved surface is smaller than a radius of a circular arc surface of the first curved surface in the predetermined section, and wherein a radius of the first curved surface in a section from an end of the predetermined section until intersecting with the second curved surface is smaller than a radius of a circular arc surface constituting the second curved surface.