A process and a device for the manufacture of a hollow body, particularly of a heat-resistant hollow body, which is molded out of a heated preform of thermoplastic plastic in a contoured blow mold through the introduction of a first medium into the preform, which medium is stored in a first medium storage unit and is under a pressure (p1) (preblowing phase), and the more or less simultaneous stretching of the hollow body through a stretching rod and the introduction of a second medium in the hollow body, which medium is stored in a second medium storage unit and the pressure of which (p2) is higher than the pressure of the first medium (p1) (final blowing phase), and which is cooled by a third medium, which is medium stored in a third medium storage unit (rinsing phase), whereby the preblowing medium is under a pressure of approximately 2-20 bar, the final blowing medium is under a pressure of approximately 15-45 bar, and the cooling medium is under a pressure of approximately 30-45 bar.