Provided is a method, performed by a source edge data network, of providing a service in a wireless communication system includes identifying a target edge data network and a handover terminal handed over to the target edge data network among a plurality of terminals provided with the service from the source edge data network; transmitting information about the identified target edge data network to a server; synchronizing status information of an application for providing the service with the target edge data network; and synchronizing user information for each of the plurality of terminals with the target edge data network.