In this paper, a description about improved element free Gerlink method (EFGM) is given. The method adopted penalty method to implement the essential boundary condition. The integral scheme takes Gauss background integration. Based on compressing the cylindric tube, the numerical model is calculated by finite element method (FEM) and EFGM. Comparisons of the deformation shape and stress of the both simulations showed good accordance. The numerical solutions show that the present method is a robust, reliable, stable mesh free method and possesses better computational properties compared with traditional FEM.