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Springback for multi-curvature part is a very important factor influencing the quality of sheet metal forming. Accurate calculation and controlling of springback are essential for the design of tools for sheet metal forming. In this paper, a springback quick compensation model is proposed to solve the problem of springback, which is based on fuzzy optimization improved GA-ANN algorithm and sheet metal forming springback experiment of multi-curvature part. The springback test results indicate that the springback compensation and analysis based on fuzzy optimization GA-ANN model are practical and reasonable. Springback calculation results with some precision can be achieved. It can be taken as a reference for sheet metal forming tool design and controlling of springback.