Abstract: A method is described for the management of the communications of events (such as e.g. alarms) between Agent- and Manager-type processing entities, in particular for connectionless communication protocols, in a telecommunication network management system, that implements a procedure adapted to increase the reliability of the event communication system, whereby the Agent sends alert notifications to the Manager to report the occurrence of new events. The alert notifications can be sent at fixed timeout and/or after a number of generated events. The Manager can however maintain a timeout polling mechanism for the periodic reading of the events in the Agent, and further the Agent can send very urgent or important notifications to the Manager. (FIG.