A clutch control apparatus includes: a judder extractor for extracting a judder component based on a speed of a transmission input shaft; an anti-judder signal generator for generating a basic control signal, which is a reverse phase signal to the judder component, based on the judder component extracted by the judder extractor; a signal separator for separating an amplitude and a phase of the basic control signal received from the anti-judder signal generator; and a signal post-processing device for respectively adjusting the amplitude and the phase output from the signal separator and then combining the same together to output anti-judder torque.