A charging system for electrical accumulator vehicle batteries, comprising a charging station principally designed to generate a charging current for the batteries, a system for thermally conditioning the batteries, by the circulation of a heat transfer fluid. A vehicle-mounted segment comprises a component for measuring the battery temperatures, a system for measuring the state of charge of the batteries, and a heat transfer fluid distribution circuit. A non-vehicle-mounted segment comprises a ground module of the thermal conditioning system for generating a flux of a heat transfer fluid, a control-command module designed to determine, during charging, as a function of the states of charge of the batteries and the battery temperatures, the flow rates and temperatures of the heat transfer fluid and a charging current required to achieve a target final state, characterized by a target temperature and a target charge at the end of a given charging time.