A pressure container comprising a plastic container core (2) for storing a fluid under pressure, a support sheath (3) surrounding the plastic container core (2), a connection piece (4) formed at the plastic container core (2) and having an opening (5) for filling in and discharging the fluid from the plastic container core (2), a connection body (6) arranged radially outside the connection piece (4) and having a bore (7), a valve body (8) having a fluid duct (9) for conducting the fluid in and out through the opening (5) in the connection piece (4), wherein the valve body (8) is arranged in the opening (5) of the connection piece (4) and in the bore (7) of the connection body (6), wherein the connection body (4) has at least one radially inside annular groove (12) and a second seal (13) is arranged in the at least one radially inside annular groove (12), so that the second seal (13) rests radially outside on the connection piece (4).