To study the globoidal indexing cams parametric design, this paper introduced three kinds of its parametric modeling method.That was offset surfaces method , direct modeling method and "point - curve - surface" method. Then modeled the globoidal indexing cams which had the same parameters and specifications by three parametric methods and Pro/Engineer.Meanwhile, used curvature comb command in Pro/Engineer to conduct the curvature analysis of indexing segment of cam profile. At last, conducted the indexing mechanisms kinematic simulation by ADAMS. From the characteristics of these three parametric methods and the result of cam profiles curvature analysis, this paper explains the reason of jitter acceleration in the simulation results.