Abstract: Provided are a method of applying fast mobile IPv6 (FMIPv6) to a mobile node in order to prevent loss of packets transmitted during a handover of a mobile router from a first access router to a second access router, and a mobile router and a mobile network therefor. Specifically, the mobile router receives, from the first access router, a message containing a prefix corresponding to the second access router, transmits, to the mobile node, a message containing the prefix and information indicating that the prefix is received from the first access router, transmits, to the first access router, a message for FMIPv6, and transmits, to the mobile node, a message to set a zero lifetime for a prefix corresponding to the first access router. Furthermore, the mobile node transmits a message for FMIPv6 to the first access router when the mobile node receives the message containing the prefix.