A method for updating an area and a device for the same in a wireless communication system is disclosed. Particularly, a method for performing a Tracking Area Update (TAU) with a Mobility Management Entity (MME) change performed by a first MME in a wireless communication system may include receiving a Context Request message from a second MME during the TAU procedure and transmitting a Context Response message to the second MME in response to the Context Request message, wherein an indication that there are downlink data buffered in the S-GW may be included in the Context Response message when downlink data is buffered in a Serving Gateway (S-GW) and a buffering time of the downlink data in the S-GW is not expired.