A motor control apparatus of the present invention is a motor control apparatus for compensating elastic deformation between a servo motor and a driven part, driven by the servo motor, which includes a position command generator for generating a position command of the motor, a compensation filter for compensating the position command generated by the position command generator and a servo control unit for controlling the movement of the motor based on a position command after compensation, i.e., the compensated position command by the compensation filter, and is constructed such that the compensation filter includes a filter F(s) having an inertia JL of the driven part, a stiffness coefficient K of an elastically deformable part and a damping coefficient C of the elastically deformable part as the elements of filter coefficients.