A method performed by an application function (AF) in a wireless communication system is provided. The method includes receiving, from a session management function (SMIF), a late notification message indicating a change of a data network access identifier (DNAI), identifying whether an AF change is needed based on the late notification message, and transmitting, to the SMIF, a response message including information for change to a target AF for a target DNAI based on a result of identifying that the AF change is needed.