Abstract: In this paper, Element-Free Galerkin method is applied to solve elasto-plastic problems. It uses the moving least squares method to construct trial function and the essential boundary conditions are imposed by penalty function method. In this method, only nodal data are needed and there is no need to join nodes into elements.The modified Newton-Raphson iteration method is used in computation. Several examples are given to show that in solving elasto-plastic problems, the Element-Free Galerkin method still possesses some advantages such as good stability and high rate of convergence.