A preliminary study of optimal designing the curvilinear tapered coat-hanger die is conducted by the method of evolution strategy combined with the finite element method. The design parameters are searched according to the evolution strategy and the objective function is achieved by the three-dimensional finite element method. Design results are attractive in very low coefficient of variation of polymer flow velocity at the die outlet. It shows that the provided method is feasible and effective in the design of the curvilinear tapered coat-hanger die. However, For the purpose of decreasing the coefficient of variation value further, both the curve equation and the tapered equation of the manifolds should be considered.