An alternating-current dynamoelectric machine according to the present invention includes: a stator including: a stator core in which slots that extend in an axial direction are formed on an inner side; and a stator winding that is mounted to the stator core by winding conducting wires into the slots; and a rotatable rotor including: a field winding that is disposed inside the stator; a rotor core constituted by a first pole core and a second pole core that each have claw-shaped magnetic poles that are disposed so as to cover the field winding and that alternately intermesh with each other; and first and second permanent magnets that are respectively disposed on two facing side surfaces of adjacent claw-shaped magnetic poles and that have magnetic fields that are oriented so as to reduce leakage of magnetic flux between the claw-shaped magnetic poles, and a magnetic body is disposed between a pair of the first and second permanent magnets.