A fast rechargeable battery assembly and a battery recharging equipment configured to recharge a battery in a very short period of time, by using a plurality of independent power supply units which recharge simultaneously a battery split in a plurality of independent battery modules, each one of these having a plurality of battery cells connected to a pair of module independent terminals positive and negative, which are direct connected to an independent power supply unit—in recharging mode, and in supplying mode all of these being connected to a battery main terminal. This functionality is realized for on-board recharging by using a contact plate and a plurality of switches, changeover witches and command switches, and for off-board recharging by using a recharging and a supplying contact plate.