The invention relates to a method for producing and filling containers (1) made of thermoplastic plastic, in which an extruded plastic hose is inserted into an open mold having movable mold parts, mold parts forming the container (1) are closed, the hose being expanded by a pressure gradient acting on the hose in order to form the container (1), preferably in the form of a bellows, and being filled with filling material, and the level of the filling material is raised by reducing container volume in the direction of the container opening, a container closure (5) for the container opening being formed from the hose by closing head jaws of the mold, wherein said method is characterized in that the container (1), preferably in the region of the container closure (5), is formed in such a way that at least one section of the plastic hose remains unclosed for the time being in order to form a venting cannula (3) and in that, when the container volume is reduced, the level of the filling material is raised in such a way that at least air is displaced from the container (1) through venting cannula (3), and the venting cannula (3) is closed by closing the head jaws or by auxiliary head jaws.