A control device for an AC rotary machine includes a magnetic-pole-position correction amount calculation device that calculates a magnetic-pole-position correction amount based on a detection-current vector detected when a voltage application device applies a voltage to the AC rotary machine according to a voltage command and on the voltage command, and stores in a storage device the magnetic-pole-position correction amount as it is associated with the detection-current vector. At normal operation of the AC rotary machine, a voltage-vector command generation device generates a voltage command for normal operation based on the detection-current vector detected by a current vector detection device and the magnetic-pole-position correction amount associated with the detection-current vector.