The disclosure provides an apparatus and method of compensating for a torque of a motor. The apparatus includes a torque information collector configured to collect steering information, motor position information, and predetermined motor information, a torque ripple calculator configured to determine a target torque based on the steering information and to determine a compensation torque for torque ripple based on the target torque and the motor information, a compensation current calculator configured to determine a compensation current value based on the motor information and the compensation torque, a current value generator configured to convert the target torque into a target current value and to generate an output current value based on the target current value and the compensation current value, and a current signal output configured to output a current control signal corresponding to the output current value.