A method for detecting topology changes of a computer network, includes the following steps of acquisition of the raw data from the configuration tables of the network elements during successive primary pollings, the following steps being carried out between two successive primary pollings: calculation and storage of a checksum value for each network element having raw data which are considered to be sensitive, at least one secondary polling, allowing the sensitive data to be retrieved again from each corresponding element, comparison of the previously-stored checksum value, at each secondary polling and for each element termed sensitive, with a new checksum value calculated with the new sensitive data, for each sensitive element, when the two checksum values differ, updating in a topology database only the topology data relative to the corresponding element.