In the case of a method for the gastight packaging of objects using a film material fitting tightly on the objects using a vacuum, the object being placed in a tray and a deep-drawable film being attached to the tray for sealing, it is provided that a tray having at least one peripheral rim is used to form the packaging, the deep-drawable film is cut to the size of the peripheral rim, and that the deep-drawable film is subsequently and/or simultaneously applied to the peripheral rim in a gastight manner.A device preferably for carrying out this method has at least one cutting device for the deep-drawable film.