The present disclosure provides a steering wheel vibration reduction apparatus including: a vibration torque signal detector that detects a vibration torque signal according to a torque generated in accordance with vibrations of a steering wheel; a wheel frequency recognizer that detects a frequency of the vibration torque signal and, if the frequency corresponds to a wheel frequency condition set in advance and recognizes the frequency as the wheel frequency; and a vibration reduction torque signal generator that generates a vibration reduction torque signal using the wheel frequency and controls the motor such that a torque for reducing the vibrations of the steering wheel is generated by the motor and a steering wheel vibration reduction method.
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