A method of performing a handover is provided. The method of performing the handover includes: a mobile terminal transmitting an access stop message to a first Access Point (AP) when the mobile terminal moves from a first AP area to a second AP area; the first AP transmitting a handover start message to a first Mobility Access Gateway (MAG) corresponding to the first AP in response to the access stop message; the first MAG transmitting the handover start message to a Local Mobile Anchor (LMA); and the LMA performing a buffering of a data packet to be transmitted to the mobile terminal.