As GUI applications are dominant in desktop environment, online migration GUI applications can improve user experience. However, the X Window System protocol which is in widespread use today, is very complex and not conducive to the live migration of GUI applications. In addition, if the runtime environments of the two machines are not consistent, it will lead to the migration failure. Therefore the live migration of GUI applications has not been realized so far. In recent years, Wayland emerges as a new graphical interface protocol, in which rendering is left to GUI clients. This brings great convenience for the migration. And today's popular Docker container technology is able to package the Wayland GUI application and its runtime library, which ensures the consistency of the runtime environments. When migration happens, the whole container will be migrated to the target machine so that the GUI application can continue its running status. In this paper, the corresponding processing Wayland protocol module is developed. And on the basis of the CRIU tool, it realizes the reconstruction of Wayland state. The experiments show that our scheme is feasible, and can be extended to most GUI applications with minor modification.