A method for supporting session mobility, more particularly, a method for supporting session mobility that can move various sessions between two or more devices by using session initiation protocol (SIP). Various sessions can be simultaneously moved by utilizing a SIP PUBLISH message. Accordingly, a user can utilize various services as they are regardless of changing of service receiving device while the user utilizes various services. Also, the session mobility can be effectively supported whether the target of the session movement is known or not.