Abstract: A pressure vessel of composite material built up by fiber wound around an elongated hollow body having at least one end fitting with an axially extending peripheral surface which has a plurality of protrusions distributed over the surface with portions of the fiber material passing over the end fitting and applied around the protrusions as to be peripherally and axially distributed thereover and molded into the composite material. The pressure vessel may also include two end fittings with different radii with the body having on an axially limited portion thereof radially extending pin-like protrusions distributed around its circumference with the fibers being wound in different directions relative to the axis on opposite sides of the protrusions with the directions being adapted to the radii of the end fittings.