An electric power steering control device is provided, which comprises a vehicle speed detector, a steering torque detector, a steering shaft reaction torque meter, a motor speed detector, a motor acceleration detector, a steering torque detector for calculating a base target current, a damping compensator for finding a gain of a damping torque based on a steering shaft reaction torque to calculate a damping compensation amount based on the damping torque gain and motor speed, an inertia compensator for finding a gain of an inertia compensation torque based on the steering shaft reaction torque to calculate an inertia compensation amount based on the inertia compensation torque gain and motor acceleration, and an adder for compensating a base target current by a damping compensation amount and an inertia compensation amount to calculate a target current.