A method and apparatus are disclosed for molding plastic articles, wherein the method includes the steps of filling a mold cavity at a first station with heated flowable plastic material under relatively low pressure from a first pressure source and then displacing the mold to a second station where the plastic material is cooled under pressure from a second pressure source. During the displacing step, the mold is conveyed along an arcuate path and the mold orientation is maintained. The apparatus includes a cantilevered core pin concentrically positioned in the mold cavity and a set of radially biased neck rings which preferably open automatically under a constant biasing force to release the neck of a molded article after the core pin is withdrawn from the article.