Analysis of research covers the related significant problems of routing protocols in wireless mobile networks with moving objects. This study is very important in order to meet today's evolving need for telecommunication mobility solutions. It encourages much greater demand of integrated wireless mobile (hybrid) network services and necessity to increase the efficiency of such networks. Objects and tasks of the research are: roaming from Wi-Fi to 3GPP network and vice versa, session continuity (tunnelling), authentication and handover issues in Wi-Fi network. The main conditions are: to keep the origin IP address, Wi-Fi integration with 3GPP network and moving objects. Mobile IP is one of the solution to achieve the objectives pursued and meet the requirements. Mobile IP main components are: mobile node, home agent and foreign agent. Mobile IP main tasks are: agent discovery (IRDP protocol), registration and tunnelling (reverse tunnelling, tunnel MTU discovery). Hybrid network ensures the roaming between remote branches over Wi-Fi and 3GPP network