Abstract: This method of manufacturing packaging articles each having a hollow body provided with a neck-forming open end comprises the steps of applying a flat piece of thermoplastic material over the open end of a mold recess, of heating said material, of punching the material by inserting a piston into the mold cavity through its opening so as to form a blank, of blowing the resulting blank against the wall of the mold, and opening the mold. The mold is constituted by an assembly of elements each constituting a matrix for molding a segment of an article, and the mold is opened by separating the elements of each pair. While the mold is being opened, the article is sucked against a bottom element of the mold.