A digital data demodulating device that estimates the channel impulse response (CIR) based on a received signal, and performs a viterbi algorithm using the replica generated according to the estimated CIR, and the received signal. The digital data demodulating device of the present invention follows the time variation of the channel by sequentially estimating the CIR in the CIR estimating circuit. The replica generating circuit of the digital data demodulating device includes a device for storing the estimated CIR and replica for each block therein, for reading the estimated CIR at a specific timing and updating the replica. A digital data demodulating device which reduce circuit scale, operates in a high speed, and appropriately follows the time variation of the channel, even in a high bit transmission rate and in a high delay dispersion of the multipass wave contained in the received signal.