Sheet flexible-die forming processes have been playing a good application on sheet metal forming in the industry field. Because of the coupled deformation between sheet metal and flexible-die, it is necessary to utilize numerical simulation technology to analyze it. In this paper, a numerical analysis method for coupling the deformation of sheet metal and flexible-die is developed. The deformation of sheet metal is analyzed with finite element method (FEM) and the bulk deformation of flexible-die is analyzed with the Element free Galerkin method (EFGM). The sheet flexible-die bulging process is analyzed with the developed FEM-EFGM method. This paper proposes a suitable numerical method to analyze sheet flexible-die forming.