The present disclosure may provide an operating method for supporting gateway change in a mobile communication system. According to one aspect of the present disclosure, the method includes receiving a message requesting to consent to the gateway change from a network entity; and according to whether at least one flow requiring session continuity is set, sending a response message regarding the gateway change consent to the network entity, wherein, when the at least one flow requiring the session continuity is set, the network entity can hold the gateway change based on the response message.