Mathematical model of corrugated roller movement was established. Variation equation of the roller tooth center distance was used as the objective function and the parameters of the roller gear (r1 ,r2 ,R1 ,R2 ) as the design variables. Optimization was carried out using Matlab optimization toolbox and the optimal tooth shape parameters were obtained, which satisfy paper core forming. Kinematics simulation was carried out using Adams and the rationality of optimized parameters was validated. The purpose was to provide data support for further research of corrugated roller dynamics analysis.