A rotary machine control device for controlling a rotary machine whose inductance has an inductance variable component that changes with a rotor position includes a current detector detecting rotary machine current flowing through the rotary machine; and a speed estimator computing estimated rotational speed that is an estimated value of rotational speed of a rotor, based on motional electromotive force that is induced voltage generated due to change in the inductance with a rotor position. The rotary machine control device includes a position computing unit computing an estimated position that is an estimated value of the rotor position, using the estimated rotational speed; and a controller outputting a rotary machine voltage instruction to drive the rotary machine, based on the rotary machine current and the estimated position. The rotary machine control device includes a voltage applicator applying voltage to the rotary machine based on the rotary machine voltage instruction.