An electric power steering system in which a current command for a brushless DC motor is determined based on a detected steering torque, a voltage to be applied is determined based on a difference between the current command value and a current value flowing to the motor, and steering assist is implemented by applying the voltage so determined to the motor. A rotational angular velocity is computed based on a detected rotor position, and it is determined that the motor is abnormal when a rotational angular velocity determination unit determines that the rotational angular velocity is equal to or less than a predetermined value, a current command value determination unit determines that the current command value is equal to or less than a predetermined value, and a voltage determination unit determines that the voltage applied to the motor falls out of a predetermined voltage range.