A Mobility Management Entity (MME), a local server, an MME-local server interface, and a data transmission method are provided. The communication method of an MME supporting inter-gateway handover of a terminal includes acquiring, when a handover from a source gateway to a target gateway is detected during an ongoing data communication of the terminal, information on a session between the terminal and a server and transmitting, when the server is a local server present in a mobile communication core network, a tunnel setup command to the local server through an interface established with the local server, the tunnel setup command instructing to establish a tunnel between the local server and the target gateway for data communication from the local server to the target gateway.