An electric power steering control apparatus that assists a steering operation made by a driver with a motor includes: a target torque calculation unit calculating a target steering torque; an assist torque calculation unit calculating an assist torque which enables an actual steering torque follows close to the target steering torque according to a difference therebetween; a motor drive unit driving a motor acting on a steering system mechanism so that a steering angle of vehicle is changed according to the assist torque; and a followability change unit that detects an abnormality of a torque sensor for detecting the actual steering torque. When abnormality is detected in the torque sensor, a followability of the actual steering torque to the target steering torque controlled by the assist torque is degraded compared with a case where no abnormality is detected in the torque sensor.