The disclosed method reconstructs a topology of an electrical distribution network. An ohmic matrix model is generated as a function of consumption measurements provided by smart meters in the network. A tree table of nodes to which the smart meters are connected is defined. A branch in exploration is defined in the table and the nodes of the branch meeting preestablished relations are entered in the table as a function of connection values derived from resistive quantities in the matrix model. One of the relations determines a junction of the branch in exploration with a branch already explored connectable to a root to which a distribution transformer of the distribution network is connected. The topology is reconstructed by iteratively proceeding with sequences of decreasing values derived from the resistive quantities.