An apparatus for reducing vibrations of an electronic steering apparatus includes a vibration filter unit which extracts a steering vibration signal that is a radio frequency component of a torque signal transmitted from a torque sensor, a signal generation unit which generates a reference signal based on one of a wheel speed and a wheel vibration number transmitted from a sensor mounted in a vehicle, an adaptive filter which receives the reference signal generated by the signal generation unit and generates a current control signal, a motor which receives the current control signal, and an error unit which stores a steering vibration component value generated based on the steering vibration signal and the current control signal applied to the motor. Here, the steering vibration component value stored in the error unit is provided as feedback to the adaptive filter to update the adaptive filter with a coefficient.