A digital signal receiver and a method for receiving a digital signal. The receiver includes an equalizing unit for compensating for an amplitude distortion of a received signal, an original signal decision unit for deciding an original signal from a signal which is compensated for the amplitude distortion, a carrier recovering and phase lock detecting unit for detecting a phase error between an input of the original signal decision unit and the decided original signal, and outputting a phase lock signal, a re-rotating unit for restoring the signal from the original signal decision unit to its original state and outputting a restored signal to the equalizer, and a coefficients updating unit for receiving the phase lock signal from the carrier recovering and phase lock detecting unit and the restored signal from the re-rotator unit, generating an error for updating the coefficients of the equalizer, and updating the coefficients of the equalizer.