Method for the production of a high-resistance tank has an initial stage in which a closed metal vessel is formed, followed by a second stage in which the walls of the vessel are subjected to a mechanical pre-tensioning treatment in both the axial and radial directions, up to a predetermined value. This mechanical treatment has a stage in which the tank is enclosed inside a mould of suitably larger dimensions. A liquid is then introduced in the tank and pressurised until the tank walls are dilated and stretched to a point where they encounter the mould inner surface. Subsequently, the outside of the tank is coated with one or more layers of composite material, so as to complete the construction of the tank, upon which a final auto-frettage treatment is carried out. The type of steel to be used is AISI 304, preferably in its more weldable AISI 304L version.