Electric charging system (10; 810; 910) of a plurality of electric vehicles (12; 812; 912), said system comprising: - an electric power supply (14; 814; 914) suitable for delivering a maximum electric power (P1 max), - a plurality of charging points (18; 818; 918), each being suitable for being connected to an electric vehicle (12; 812; 912) and recharging a battery (19; 819; 919) of said electric vehicle, and delivering a plurality of electric power levels (P1, P2), each charging point (18; 818; 918) being connected, via a corresponding electric line (22; 822; 922), to the electric power supply (14; 814; 914), - for each charging point (18; 818; 918), a device (20; 820; 920) for controlling the electric power level (P1, P2) delivered by the charging point (18; 818; 918) to the electric vehicle (12; 812; 912) connected thereto, the control device (20; 820; 920) being suitable for transmitting a control signal to the corresponding charging point (18; 818; 918), said electric power level (P1, P2) delivered being dependent on said control signal, wherein the control devices (20; 820, 920) are connected to each other by communication links (30; 830; 930), in that at least one of the control devices generates charging tokens suitable for circulating between the control devices (20; 820; 920) on the communication links (30; 830; 930), at each charging tokens being associated a partial power (P'), corresponding to a subdivision of the maximum power (P1 max) and the sum of the partial powers (P') associated with the charging tokens being less than or equal to the maximum power (P1 max), in that the control devices (20; 820, 920) are suitable for controlling, using the charging tokens, the distribution of the maximum power (P1 max) between the charging points as a function of time and the number of electric vehicles (12; 812; 912) connected to the charging points (18; 818; 918) and requiring charging, wherein each control device (20; 820; 920) is connected, via the communication links (30; 830; 930), to two control devices (20; 820; 920), the set of control devices (20; 820; 920) forming a chained link, corresponding to a closed communication loop, wherein the charging tokens are adapted to circulate in a single direction between the control devices (20; 820; 920) via the communication links (30; 830; 930), characterized in that each charging token is associated with an allocation time (Ta), corresponding to the time during which each control device (20; 820; 920) is suitable for using and storing the charging token when it receives it, in that each control device is suitable for detecting the start of charging of a battery of an electric vehicle connected to the corresponding charging point or the end of charging of the battery of said electric vehicle, and following the detection of the start or the end of charging, the corresponding control device is suitable for transmitting a synchronisation token to the other control devices, the synchronisation token circulating in a single direction between the control devices, and in that the control devices holding a charging token when they receive the synchronisation token are suitable for resetting the allocation time (Ta) to a latency time and storing the charging token further for the latency time, the synchronisation token being transmitted from control device to control device. - an electric power supply (14; 814; 914) suitable for delivering a maximum electric power (P1 max), - a plurality of charging points (18; 818; 918), each being suitable for being connected to an electric vehicle (12; 812; 912) and recharging a battery (19; 819; 919) of said electric vehicle, and delivering a plurality of electric power levels (P1, P2), each charging point (18; 818; 918) being connected, via a corresponding electric line (22; 822; 922), to the electric power supply (14; 814; 914), - for each charging point (18; 818; 918), a device (20; 820; 920) for controlling the electric power level (P1, P2) delivered by the charging point (18; 818; 918) to the electric vehicle (12; 812; 912) connected thereto, the control device (20; 820; 920) being suitable for transmitting a control signal to the corresponding charging point (18; 818; 918), said electric power level (P1, P2) delivered being dependent on said control signal,