A new version of a software is broken down into successive blocks in order to be transferred block by block in two phases by a concentrator device: a first phase during which said concentrator device performs (S308) the transfer according to a sequencing independent of whether or not each block has been correctly received, and a second phase during which the concentrator device performs (S310) the transfer of each block that has not been correctly received. The new version of the software is thus transferred to electricity meters via a communication network. Each electricity meter stores in non-volatile memory a context including an indication of each block of the new version of the software that has not been correctly received and, when the transfer of the new version of the software to at least one electricity meter is interrupted, the subsequent resumption of the transfer of the new version of the software to said electricity meter or meters takes place according to the second phase by means of their respective contexts.