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Genetic Algorithm (GA) is an optimization procedure which can be applied to the identification of the nonlinear structure of a dynamic model by using experimental data. In this paper, the GA is introduced to identify the precision stage with the nonlinear friction. By means of the GA approach with a nonlinear polynomial model, the structure as well as its coefficients can be modeled accurately, and the resulting model provides a useful physical meaning. The efficiency of the proposed GA-based identification is verified by the experiments using the precision positioning equipment.