A method and apparatus of supporting a fast handover in a transport layer is provided. In a network using an SCTP (Stream Control Transmission Protocol), an MN (Mobile Node) acquires a first new IP (Internet Protocol) address after a first handover to a first new network area, stores information about the first handover to the first new network area, and sends (i.e., transmits) a first handover message including the new IP address to a CN (Correspondent Node). If a second handover to a second network area is required, the MN performs the second handover even if a response message for the first handover message has not been received, acquires a second new IP address, stores information about the second handover, and sends a second handover message including the second new IP address to the CN.