Abstract: In the electrical energy storage element in accordance with the invention, a plurality of electrochemical cells that are each formed with a cathode and an anode as electrodes and an electrolyte are arranged stacked above one another. They are enclosed at one side by a top plate formed from an electrically conductive material, in particular aluminum, and at the oppositely disposed side by a base plate formed from an electrically conductive material, in particular aluminum. The base plate is coated by a cathode or by an anode and the cover plate is coated in a complementary manner by an anode or by a cathode. The anodes and cathodes are each formed at oppositely disposed surfaces of an electrically conductive carrier film which preferably comprises aluminum, copper, steel or an electrically conductive plastic.