A control apparatus of a rotary electric machine which can be configured so that the upper limit of a vibration torque component, in which the rotary electric machine is made to output, is not limited by a maximum output torque of the rotary electric machine is provided. The rotary electric machine is controlled such that when a vibration maximum value in which an amplitude of a vibration torque command value Tcv from a vibration command calculation section is added to a basic torque command value Tcb from a basic torque command calculation section exceeds an upper limit command value Tcmx, the addition of the vibration torque command value Tcv from the vibration command calculation section is stopped and a basic vibration torque command value Tcvb calculated by a basic vibration torque calculation block is regarded as a final torque command value Tcf.