A mobility management method and apparatus are provided, to flexibly switch a forwarding path, and ensure service continuity in a movement process of a terminal device. The method includes: A control plane network element determines a changed media access control address MAC address of a first terminal device after the first terminal device moves. Then, the control plane network element determines at least one second terminal device that belongs to a same terminal device group as the first terminal device, where the first terminal device is a terminal device whose address changes after the movement, and the at least one second terminal device is a terminal device other than the first terminal device in the terminal device group. Finally, the control plane network element notifies the first terminal device and the at least one second terminal device to update to the changed MAC address of the first terminal device.