Example handover methods and apparatus are described. One example method includes generating a handover request message or a handover requirement message by a source radio access network (RAN) device. The handover request message includes a first mapping relationship between downlink transmission of a quality of service (QoS) flow and a data radio bearer (DRB) and a second mapping relationship between uplink transmission of the QoS flow and a DRB that are configured by the source RAN device for a terminal device, where the two mapping relationships are different. The source RAN device sends the handover request message to a target RAN device, and forwards data of the terminal device on the source RAN device to the target RAN device in a process in which the terminal device is handed over from the source RAN device to the target RAN device.