Disclosed are a communication scheme and a system thereof for converging an IoT technology and a 5G communication system for supporting a high data transmission rate beyond that of a 4G system. The present disclosure can be applied to intelligent services (for example, services related to a smart home, smart building, smart city, smart car, connected car, health care, digital education, retail business, security, and safety) based on the 5G communication technology and the IoT-related technology. The present disclosure relates to a method of processing an anchor UPF for local offloading when a UE moves in a 5G cellular wireless communication system.