A method for connecting electrodes of the same polarity of an accumulator (1) to a current output terminal (6, 7), the accumulator including two current output terminals (6, 7), a container (2) containing an electrochemical bundle (9) having alternating positive and negative electrodes, the ends of the current collectors of the positive and negative electrodes defining a first (Si) and second (S2) surface respectively. There is a step of additive manufacturing of an internal connecting part (11, 13) electrically connecting the first and/or the second surface to the corresponding current output terminal.