The present invention relates to mobile communication technologies, and discloses a method and a device for handover between User Equipment (UE) in a process of sending a message to enable the after-handover UE receive messages accurately. The method includes: receiving a UE handover request sent by a before-handover UE, wherein the UE handover request carries an identifier of an after-handover UE and indication parameters for sending a message; and sending the message to the after-handover UE according to the identifier of the after-handover UE and the indication parameters for sending the message. The embodiments of the present invention are applied to handover between UEs in the process of sending a message.