An apparatus and a method for performing a time shift function according to a current call connection state are disclosed. If a user enters a call connection mode with another party while viewing digital broadcast signal, received digital broadcast signal is recorded. If the call connection mode is terminated, the digital broadcast signal stored from a start time of the call connection mode is reproduced and displayed. Therefore, although the user loses specific broadcast signal received during a call connection time, the user can continuously view the lost broadcast signal without any loss after the lapse of the call connection time.