Abstract: Based on the analysis ofthe zero set characteristics ofthe nonlinear polynomial mappinghomotopy function, a homotopy iteration method with an improved homotopy tracking scheme is proposed in this paper, and the feasibility and reliability of the homotopy iteration method for solving nonlinear polynomial systems is proved. The proposed method possesses a high efficiency in solving the high deficient polynomial systems. Numerical examples of mechanism problems demonstrate the efficiency and reliability of the method.