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Abstract: Accurate linear motion is the premise of the water-cooled wall climbing robot to complete the wear detection work. In order to ensure its linear motion, a water-cooled wall climbing robot path tracking control law is designed. In this paper, by establishing the kinematics model of the wall-climbing robot, the image of the water-cooled wall is captured by the camera, and the image is processed and the straight path is extracted to realize feedback on its posture. Then the path tracking control law is designed according to the Backstepping tracking algorithm to control the pose of the robot. At the same time, the convergence of the control law is verified by Lyapunov stability theory. Finally, the simulation experiment is carried out by MATLAB software. The simulation results verify the validity of the control law.