A method for managing communications within a network comprising utility meters, each associated and connected to at least one utility management center through at least one intermediate data concentrator. A message is sent by a utility meter to the destination data concentrator. This message includes metering data measurement reported by said utility meter, its utility meter identifier, the destination data concentrator identifier and the management center identifier. Then, on the basis of several metering data measurements, a metering counter differential consumption value is calculated by difference of two metering counter consumption indexes measured by the utility meter within a time period interval. Then, a report containing at least the metering counter differential consumption value is sent from the destination data concentrator towards the utility management center to which said utility meter is associated.