The disclosure relates to a 5th generation (5G) or pre-5G communication system for supporting a data transmission rate higher than that of a 4th generation (4G) system, such as long-term evolution (LTE). The disclosure relates to authentication and authorization for edge computing applications, and an operation method of a user equipment (UE) in a wireless communication system. The method may include transmitting, to a server, a first message including at least one of information related to the UE or a type of user agent, performing an authentication procedure for an edge computing service according to an authentication method determined based on the first message, receiving a second message indicating authority granted to the edge computing service, based on an authentication code generated by the server according to the performed authentication procedure, and using the edge computing service in a range corresponding to the granted authority.