In one aspect of the present invention, there is provided an event notification method of an AMF in a wireless communication system. The event notification method includes receiving, from a requester, a subscribe message for a notification subscribe to a mobility event of a UE, wherein the subscribe message includes an identifier (ID) of the UE and an event filter for filtering the mobility event; performing a registration procedure for the UE; and when the mobility event filtered by the event filter happens in the registration procedure, completing the registration procedure of a notification message for the mobility event and then sending the notification message to a SMF, wherein if the subscribe message includes an indicator indicating a maintenance of a connected mode of the UE, the connected mode of the UE is maintained for a predetermined time after the registration procedure is completed.