A method of supporting a Handover (HO) by a master evolved Node B (eNB) in a wireless communication system supporting dual connectivity of a User Equipment (UE) for the master eNB and a slave eNB is provided. The method includes when an HO of the UE to the slave eNB is determined, transmitting an HO request message to a target slave eNB, when a HO Ack message is received from the target slave eNB, transmitting an HO trigger request message including identification information of the target slave eNB to a source slave eNB, and when a resource release message is received from the target slave eNB, transmitting an HO success indicator to the source slave eNB.