A rechargeable lithium battery (28) has at least two layer cells (10) arranged on top of one another, where each layer cell (10) comprises an aluminum electrode layer (12, 12', 12''), a cathode layer(14), a polymer electrolyte layer (16), a lithium anode layer (18) and a copper electrode layer (20, 20', 20'') which are arranged on top of one another, wherein the copper electrode layer (20, 20') of a layer cell (10) and the aluminum electrode layer (12, 12') of an adjacent layer cell (10) are formed by a copper layer and an aluminum layer of a CUPAL sheet (22, 22').