Abstract: The invention relates to a pressure vessel comprising a heat exchanger for a cryogenically stored medium, especially for use in a motor vehicle, especially for use as a pressure tank for hydrogen. Said pressure vessel includes a cylindrical jacket and rounded-off end faces which are rolled onto the ends of the jacket and which have centrally arranged openings closed by welded-in inserts, at least one first insert having filling and removal devices. The invention is characterized in that the inserts form bearings on which at least one in-tank heat exchanger is mounted.