A mobility supporting method, the method comprising: allocating a prefix to a mobile terminal using a first access router, and registering the allocated prefix in an authentication server; verifying the mobile terminal based on the registered prefix using the authentication server, and reporting a result of the verifying of the mobile terminal to a second access router when the mobile terminal moves to connect to the second access router; and notifying the reported result of the verified mobile terminal to the first access router using the second access router, wherein the registering of the allocated prefix in the authentication server comprises: transmitting a signaling message to the authentication server via the first access router by the mobile terminal, when the mobile terminal connects to the first access router; registering, by the authentication server, the mobile terminal in a network entry when the authentication server receives the signaling message; transmitting, by the first access router, a route advertisement message to allocate the prefix to the mobile terminal when the registering of the mobile terminal in the network entry is completed; transmitting, by the first access router, a registration message to register registration information, comprising the allocated prefix, to the authentication server when the transmitting of the RA message is completed; and updating, by the authentication server, a previously stored prefix list based on the registration information, comprised in the registration message when the authentication server receives the registration message, wherein the reporting of the result of the verifying of the mobile terminal to the second access router comprises: generating, by the first access router, a binding update message based on the registration information, comprised in the reporting message, and transmitting the generated binding update message to the first access router when the second access router receives the reporting message as the reported result of the verifying of the mobile terminal; verifying, by the first access router, the previously stored first prefix list, generating a binding acknowledge message to permit the binding, and transmitting the generated binding acknowledge message to the second access router when the first access router receives the binding update message; and updating, by the second access router, a second prefix list that has been previously stored, and transmitting the RA message for reporting a use of the allocated prefix the mobile terminal when the second access router receives the binding acknowledge message. allocating a prefix to a mobile terminal using a first access router, and registering the allocated prefix in an authentication server; verifying the mobile terminal based on the registered prefix using the authentication server, and reporting a result of the verifying of the mobile terminal to a second access router when the mobile terminal moves to connect to the second access router; and notifying the reported result of the verified mobile terminal to the first access router using the second access router, transmitting a signaling message to the authentication server via the first access router by the mobile terminal, when the mobile terminal connects to the first access router; registering, by the authentication server, the mobile terminal in a network entry when the authentication server receives the signaling message; transmitting, by the first access router, a route advertisement message to allocate the prefix to the mobile terminal when the registering of the mobile terminal in the network entry is completed; transmitting, by the first access router, a registration message to register registration information, comprising the allocated prefix, to the authentication server when the transmitting of the RA message is completed; and updating, by the authentication server, a previously stored prefix list based on the registration information, comprised in the registration message when the authentication server receives the registration message, generating, by the first access router, a binding update message based on the registration information, comprised in the reporting message, and transmitting the generated binding update message to the first access router when the second access router receives the reporting message as the reported result of the verifying of the mobile terminal; verifying, by the first access router, the previously stored first prefix list, generating a binding acknowledge message to permit the binding, and transmitting the generated binding acknowledge message to the second access router when the first access router receives the binding update message; and updating, by the second access router, a second prefix list that has been previously stored, and transmitting the RA message for reporting a use of the allocated prefix the mobile terminal when the second access router receives the binding acknowledge message.