A method of remotely reading electricity consumption data in a system that includes isolated electricity meters and a server for processing consumption data. Each isolated electricity meter being provided with communications means for transmitting the consumption data specific thereto over a communications network of the wired or mobile telephone network type. The consumption data from a plurality of isolated meters is initially transmitted over the wired or mobile telephone type communications network to a unit that collects and stores temporarily the consumption data from a plurality of isolated meters, and the consumption data stored temporarily by the unit is subsequently sent in grouped manner to the server. The invention relates to energy distribution networks.