As wireless communication and terminal technologies develop, the mobility of users rapidly increases. The users in this dynamic state also want to connect their devices and to receive seamlessly services anywhere, anytime. Standard groups therefore progress the research and standardization for ?mobility support?. Network Mobility (NEMO) proposed by IETF focuses on the condition where the entire network moves. However, in the ?NEMO basic support protocol?, the tunneling overheads increase and the pinball-routing problem occurs as the levels of nesting of a mobile network increase. Thus, various schemes have been proposed under the route optimization of the nested NEMO. However, the existing schemes have a long convergence time in route optimization after handoff. In addition, if the levels of nesting are changed, the communication is disrupted. Therefore, we propose a fast route optimization to support real-time applications even if the levels of nesting of a mobile network are dynamically changed.