An application context relocation method performed by an edge enabler client (EEC) included in a user equipment (UE) in an edge computing system is provided. The application context relocation method includes determining to request an application context relocation by detecting that the application context relocation is required for a predicted or expected UE location; determining a target edge enabler server (T-EES) by using T-EES information received from an edge data network (EDN) configuration server; transmitting, to a source edge enabler server (SEES), an application context relocation request to start the application context relocation; receiving, from the S-EES, an application context relocation response, in response to the application context relocation request; and receiving, from the S-EES, an application context relocation notification of completion of the application context relocation.