The tooth surface of worm gear of ZA-type worm gear and worm transmission is spatial conjugate surface of complex worm cylindrical spiral surface,the mathematical equations describing of the worm gear tooth surface is complex,parametric accurate modeling is difficult.According to the principle of worm hob enveloping machining worm tooth surface,collaborative using the PDG,GSD,ASD,DMU SPA,DMU KIN 5functional modules and knowledge tools of CATIAV5 platform,the method of control the affine parameter family of curves to create a leading multi-section composite configuration 3Ddigital modeling used for precise parametric digital modeling of the ZA worm gear is proposed,a controllable parameter modeling processes with the negative feedback control of the contact analysis of the static and dynamic area is constructed,a foundation of accurate parametric 3Ddigital modeling for worm gear and worm transmission CAE advanced analysis is laid.