An electric power steering apparatus that reduces uncomfortable feeling to a driver in steering angle control by improving followability of an actual steering angle to a target steering angle, and performs efficient damping to a vibration of a vehicle. The apparatus includes a torque control section that calculates a first motor current command value based on a steering torque and so on, a target steering angle generating section that generates a target steering angle based on vehicle information, and a steering angle control section that calculates a second motor current command value based on the target steering angle, an actual steering angle and so on, and calculates the motor current command value by the first and second motor current command values.