The invention relates to a high pressure vessel for withstanding fatigue operating cycles, in which there is placed a product (1) that is subjected to high pressure. According to the invention, the vessel is formed by coaxial cylinders (2) spaced apart from one another, with a gap (3) being provided between every two contiguous coaxial cylinders (2), into which gap a pressurized fluid is injected. The ends of the vessel are provided with sealing plugs (4) that create a hermetic seal, and the pressure applied to the fluid in the gaps (3) increases as the distance to the interior of the vessel containing the product (1) to be treated decreases.
