A process for producing plastic parts, in particular molded plastic articles that are deep-drawn in a shaping contrivance into molded articles from at least one heated plastic foil, with the molded articles then being separated from the molded article assemblage in the separating contrivance and conveyed with the aid of a transport contrivance to successive processing stations such as a printing unit, or a stacking contrivance or the like. The shaping and detaching of the individual molded articles made of the still warm foil are executed directly after one another at one station, with forming taking place first and detaching then following by means of strip steel cutting, while the form still remains in the closed condition. It is also possible, with the aid of this process, to produce molded articles consisting of two superimposed foils with layers of an absorbent material disposed therebetween.