The invention relates to a pressure vessel with reinforced pole caps and a method for producing such a pressure vessel, which comprises an inner vessel of a cylinder-shaped central part and two dome-shaped pole caps closing the central part on both sides and an outer layer wound on the inner vessel for the reinforcement of the inner vessel against a pressure load, wherein the outer layer comprises at least one pole cap reinforcement layer and a pressure vessel reinforcement layer of fiber composite material, wherein the pole cap reinforcement layer at least partially covers the pole caps and the pressure vessel reinforcement layer covers the pole caps and the central part and a contour-stable preform is arranged as the pole cap reinforcement layer on at least one of the pole caps, preferably on both pole caps.