A method for balancing a battery (C) comprising a plurality of branches (Ba, Bb, . . . , Bn) in parallel, each branch comprising at least two electrochemical cells in series (E1a, E2a, E3a, E1b, E2b, E3b), with an activatable electrical energy discharge or transfer device (Rb) being connected across the terminals of each electrochemical cell, comprises activating the electrical energy discharge or transfer devices connected across the terminals of the cells of the branch that includes the electrochemical cell having the lowest voltage, with the exception of the electrical energy discharge or transfer device associated with the electrochemical cell having the lowest voltage, and simultaneously deactivating the electrical energy discharge or transfer devices connected across the terminals of the cells of the branch or branches that do not include the electrochemical cell with the lowest voltage.