The structure and transmission principle of the two tooth difference cycloid movable tooth transmission are introduced,and the tooth profile is designed. The tooth outline of center gear is analyzed with simulation software,and the radius of curvature of the center gear is calculated. The position of the minimum radius of curvature of the center gear is ascertained,and the conditions to avoid the tooth profile interference are given. The influences of the structural parameters on minimum radius of curvature of center gear theoretical tooth profile are analyzed. Combined with a single degree of freedom vibration model,the dynamic response of movable tooth transmission is analyzed.