With the deployment of home NodeB or home eNodeB, a user can access both operator's core network and Local IP Access (LIPA), e.g. to home based network or general Internet, on the same device at the same time. However, existing mechanisms does not allow an efficient way of LIPA mobility support, especially when there are multiple home NodeBs or home eNodeBs serving the same LIPA domain. The present invention provides a solution that can achieve seamless mobility among different home NodeBs or home eNodeBs without interruption to LIPA service. The LIPA traffic for the terminal can be contained within the local domain during the handover process. It also provides support of the relocation of the gateway that provides the LIPA access to the mobile terminal.