Digital TV system with a PVR function and method for making a stream jump therein, wherein, upon reception of a stream jump order from a user, searching the storage medium for a target GOP the user, or a system designated, changing a reproducing position to a TP next to a TP having a picture header among TPs in a prior picture positioned right forward of the searched target GOP, and starting reproduction from the changed reproducing position, thereby preventing occurrence of a decoding error while maintaining continuity of CC values in decoding TPs of a target GOP, to permit no broking of picture even in the stream jump.