The work aims to study kinematics equations of tooth profile meshing point and solve the nonlinear equations of meshing to obtain the analysis diagram of kinematics performance in the optimization of corrugated roller tooth structure. Based on differential geometry and principle of relative kinematics, the tooth profile functions were established and the Weighed Quasi Newton method was used to solve the kinematics equations of tooth profile meshing point with the calculation program. Through the calculation example, the original parameters of U, V and UV corrugated rollers were substituted into the meshing equation for calculation, and the analysis diagram of kinematics performance was obtained. The diagram showed that the variation of center distance caused by the meshing of the tooth profile of corrugated roller was consistent when the corrugated board was formed and was only symmetric on the different indexing angle coordinate axis and in conformity with transmission ratio, i=φ2/φ1=?1 and the parallel conditions of side-corrugated tooth profile: φ2?φ1=180°, namely the meshing alternating points when the two tangents were parallel. The diagram reveals the relation between corrugated scale parameters with the angular velocity of the corrugated roller at work, acceleration and displacement of variation in center distance and evaluates the kinematic performance of various types of corrugated rollers, thus providing the basis for error analysis and design calculation of corrugated roller, and laying a theoretical foundation for the analysis of kinematics, dynamics and machining principle specially.