The purpose of the present invention is to propose a reliable, economically viable autoclave that also allows rapid heat treatment of food or pharmaceutical products in industrial quantities.To this end, the subject of the invention is a system for shaking items, inside a device under pressure, comprising a chamber (100) equipped with a heating means (110) and with a pressurizing means (115), and a storage basket (200) for the items (P) coupled to a translational shaking means (300, 310-320-330-340), wherein the basket (200) is slidably mounted on a chassis (400) exhibiting a platform (410) supported by support columns (420) passing through the chamber (100) in a fluidtight and decoupled manner and intended to be secured to an immovable support (600).