A rotating electrical machine comprising: a stator; and a rotor (3; 3A), characterized in that the rotor (3; 3A) includes: a cylindrical iron core (10; 10A) that is fixed to a shaft and comprises a radial direction and an axial direction; a plurality of permanent magnets that is embedded in the iron core (10; 10A); a plurality of air gaps that are respectively provided in a portion on an inner side of the iron core (10; 10A) in the radial direction; a wedge portion that is provided along the axial direction so as to protrude within the air gap; and a non-magnetic reinforcing member that is filled in the air gap, a cross sectional shape of the air gap in a cross section perpendicular to the axial direction is a polygon, and the air gap includes: magnet facing surfaces that face the side surfaces of the permanent magnets, which are magnetic flux generating surfaces, configured to reduce a leakage magnetic flux to the inner side of the rotor (3; 3A) in the radial direction; and magnetic flux guide surfaces that are connected to the magnet facing surfaces configured to guide a magnetic flux of the permanent magnet to the outer side of the rotor (3; 3A) in the radial direction, and the wedge portion is provided on the corner portion located between the two magnetic flux guide surfaces. a stator; and a rotor (3; 3A), characterized in that the rotor (3; 3A) includes: a cylindrical iron core (10; 10A) that is fixed to a shaft and comprises a radial direction and an axial direction; a plurality of permanent magnets that is embedded in the iron core (10; 10A); a plurality of air gaps that are respectively provided in a portion on an inner side of the iron core (10; 10A) in the radial direction; a wedge portion that is provided along the axial direction so as to protrude within the air gap; and a non-magnetic reinforcing member that is filled in the air gap, a cross sectional shape of the air gap in a cross section perpendicular to the axial direction is a polygon, and a cylindrical iron core (10; 10A) that is fixed to a shaft and comprises a radial direction and an axial direction; a plurality of permanent magnets that is embedded in the iron core (10; 10A); a plurality of air gaps that are respectively provided in a portion on an inner side of the iron core (10; 10A) in the radial direction; a wedge portion that is provided along the axial direction so as to protrude within the air gap; and a non-magnetic reinforcing member that is filled in the air gap, a cross sectional shape of the air gap in a cross section perpendicular to the axial direction is a polygon, and the air gap includes: magnet facing surfaces that face the side surfaces of the permanent magnets, which are magnetic flux generating surfaces, configured to reduce a leakage magnetic flux to the inner side of the rotor (3; 3A) in the radial direction; and magnetic flux guide surfaces that are connected to the magnet facing surfaces configured to guide a magnetic flux of the permanent magnet to the outer side of the rotor (3; 3A) in the radial direction, and the wedge portion is provided on the corner portion located between the two magnetic flux guide surfaces. magnet facing surfaces that face the side surfaces of the permanent magnets, which are magnetic flux generating surfaces, configured to reduce a leakage magnetic flux to the inner side of the rotor (3; 3A) in the radial direction; and magnetic flux guide surfaces that are connected to the magnet facing surfaces configured to guide a magnetic flux of the permanent magnet to the outer side of the rotor (3; 3A) in the radial direction, and the wedge portion is provided on the corner portion located between the two magnetic flux guide surfaces.