This paper for the mathematical modeling mechanism of the polishing machine, first based on the mechanical characteristics of the plate, analysis of the adhesive contact force and driving force, establish the polishing machine in the straight line, arc motion of kinematics and dynamic model, deduce the movement under the polishing machine movement speed, angular speed, position and driving friction force, driving moment. Finally, through joint simulation and verification by Admas and Simulink. The conclusion is that as the inclination of the wipe disc increases, the saturation speed of the linear motion will increase with a constant tolerance speed, the saturation angular velocity of the rotation motion also increases uniformly with the tolerance angular velocity. The rotational radius of the arc motion increases uniformly with the tolerance radius, and in the two sides of the disc inclination value in the opposite direction. On the contrary, the value decreases to the same value of the same direction and turns to the rotation movement. With the decrease of the disc rotation speed, the saturation velocity and saturation angular velocity of the line and rotation motion, the linear velocity and rotation radius of the arc motion are all decreasing, the angular velocity is increasing. This paper provides the theoretical basis for the steady state control of motion pose, and provides important reference for system parameter design and field construction of disc machine.