A method is provided for transferring a session between multiple devices by a target device, in which the target device selects a particular session of a source device and sends a request for session transfer for the selected session to a call server, the target device acquires from the call server data that has been transmitted from the remote party's device of the particular session and temporarily stored in the call server after the session transfer request, and the target device sends a message indicating completed acquisition of the temporarily stored data to the call server, and receives the particular session transferred in response thereto.