A vibration reduction apparatus of an MDPS may include: an adaptive control module configured to detect an error signal, generated by disturbance, from a torque signal of a torque sensor which senses torque of the MDPS, and generate a compensation signal for compensating for a disturbance signal by using the error signal; and an adaptive filter module configured to generate a filter signal by using the vibration frequency of the disturbance of the MDPS, remove a disturbance component of a current command outputted from an MDPS controller, on the basis of the filter signal, and output a current command in which the disturbance is suppressed. The MDPS controller may generate a final current command on the basis of the compensation signal and the current command in which the disturbance is suppressed, and control a motor of the MDPS according to the final current command.