A method to manage charge and/or discharge of a rechargeable battery comprising at least one electrochemical cell having predetermined maximum continuous charge current (IMR_C) and/or discharge current (IMD_C) allowed, the method comprising the steps of: measuring an instantaneous charge current (I); defining an overcharge capacity (Cap); determining an instantaneous maximum current allowed in charge (IMR) as a function of the overcharge capacity; and/or defining an over thermal capacity (CapTh); determining an instantaneous maximum pulse current allowed in discharge (IMD_max) as a function of the over thermal capacity.