The invention relates to a method for producing a pressure accumulator (1), in particular for storing hydrogen in motor vehicles. First, a pressure accumulator liner (3) which has at least one pole cap (2, 2′) is produced preferably by means of a plastic blow molding method, and the outside of the liner (3) is then provided, preferably braided, with a multi-ply reinforcing layer (9), which has reinforcing fibers (8). According to the invention, a fiber supply cap (10, 10′) is applied on the pole cap (2, 2′) prior to applying the reinforcing fibers (8), the outer surface of the fiber supply cap being spaced from the pole region (21, 21′) of the pole cap (2, 2′). The reinforcing fibers (8) are applied onto the body of the liner (3) and in the pole region (21, 21′) so as to correspond to the outer surface of the fiber supply cap (10, 10′) while the reinforcing layer (9) is applied such that the inner reinforcing layer (9) plies which are formed by the reinforcing fibers (8) are provided with a fiber supply (22) in the pole region (21, 21′) on the basis of the distance between the outer surface of the fiber supply cap (10, 10′) and the pole region (21, 21′) of the pole cap (2, 2′). The invention also relates to a pressure accumulator (1) produced in a corresponding manner.