In an ATM cell-relay network usually comprising several switching nodes a method enabling remote surveillance of any entry port to any switching node of the network. The method first assumes that a path is set up from the entry port to a remote observation point. Then, all cells of the incoming traffic, entering entry port to be watched, are duplicated and marked. After which they are transported, unaltered, following the path, up to the observation point. The invention permits that any entry port of an ATM network, that may well span over large geographic areas, be conveniently observable and analyzed transparently i.e., without disturbing users traffic, from a remote location so as network can be maintained and run trouble free.