The management method comprises a charging phase and may comprise an optional prior phase of estimating the state of charge of the battery. Comparison of the absolute value of the slope of the voltage at the battery terminals with a full-charge threshold at the end of each period, when a pulsed current is applied, is used as end-of-charging criterion in the charging phase and/or as full-charge criterion in the phase of estimating the state of charge. The charging phase by pulsed current is interrupted when the slope reaches the full-charge threshold. This same comparison constitutes the criterion for estimating the necessity for going to a charging step after the prior phase of estimating the state of charge of the battery.