This article presents an algorithm for static analysis of termination of active rules with composite events. We refine the concept of triggering graph, including in the graph not only rules, but also events (primitive events and composite events). Our termination algorithm improves the previous termination algorithms, thanks to the notions of composite path and maximal order M path preceding a rule, replacing the classical notion of cycle. Both composite events and overall conditions of rules paths can be taken into account for rules termination analysis. So, much more termination situations can be detected by our algorithm, especially when active rules defined with conjunction events or sequence events are used.