To provide a controller for AC rotary electric machine which can reduce an electromagnetic exciting force in the execution region of the magnetic flux weakening control. A controller for AC rotary electric machine, in a specific operating region which is set in an operating region of the magnetic flux weakening control, increases a maximum value of amplitude of fundamental wave components of applied voltages applied to windings more than a normal operating region other than the specific operating region; and calculates dq-axis current command values by the magnetic flux weakening control, in a condition in which the maximum value of amplitude of the fundamental wave components of the applied voltages is increased.