A multiple-polyphase AC dynamo-electric machine, wherein each of the plurality of the teeth provides the flange part to the NS magnetic pole part of the rotor side end part, the stator core has a magnetic connection part which connects the flange parts adjoined each other in the NS magnetic pole of each of the plurality of teeth, the connection part is provided corresponding to each of the slot and an inner peripheral side of the corresponding slot, the radial width of the connection part are smaller than both of the circumferential width of the teeth, thereby the radial widths of the connecting sections are smaller than both the circumferential widths of the teeth and the radial widths of the flanges, voltages generated when the magnetic flux generated by current flowing through one group of windings links with the windings in another group are suppressed effectively.