The present invention addresses to a high-pressure vessel for packaging hollow fiber type membranes with application in the field of separation process with contactors with membranes aiming at a compact device/piece of equipment configured for the packaging of hollow fiber type bundles that can be used for various fluid separation processes such as liquid-liquid, liquid-gas and gas-gas, capable of working at high-pressures, enabling adequate hydrodynamic conditions and easily scalable. It is called a module the general piece of equipment, consisting of the vessel (A or C), object of the present invention, and the membranes packed inside the vessel. This piece of equipment consists of a vessel inside which the membranes are placed (14), and two heads attached at the ends (B or D). Each head has two connection points, thus allowing this device to be used with membrane contactors-type separation systems, such as classical permeation systems (liquid-liquid, gas-gas, pervaporation).