Method for producing tilled containers from parisons made from a thermoplastic material, wherein the respective parison is at least conditioned thermally and is subsequently shaped during a shaping and filling phase in a mold by the action of the pressure of the supplied filling substance into the respective container at a shaping and filling pressure, wherein, during the shaping and filling phase, the parison is guided at least temporarily through a stretching rod and/or is stretched in the axial direction, and wherein, at least at the end of the shaping and tilling phase, the respective container has an internal pressure which corresponds to the shaping and filling pressure (p2).