A meshless approach based on the moving least square method is developed forelasto-plasticity analysis,in which the incremental formulation is used.In this approach,the dis-placement shape functions are constructed by using the moving least square approximation,andthe discrete governing equations for elasto-plastic material are constructed with the direct collo-cation method.The boundary conditions are also imposed by collocation.The method establishedis a truly meshless one,as it does not need any mesh,either for the purpose of interpolation of thesolution variables,or for the purpose of construction of the discrete equations.It is simply formu-lated and very efficient,and no post-processing procedure is required to compute the derivativesof the unknown variables,since the solution from this method based on the moving least squareapproximation is already smooth enough.Numerical examples are given to verify the accuracyof the meshless method proposed for elasto-plasticity analysis. A meshless approach based on the moving least square method is developed forelasto-plasticity analysis, in which the incremental formulation is used. This approach, the dis-placement shape functions are constructed by using the moving least square approximation, and the discrete governing equations for elasto-plastic material are constructed with the direct collo-cation method. The boundary conditions are also imposed by collocation. method established is a truly meshless one, as it does not need any mesh, either for the purpose of interpolation of the solution variables, or for the purpose of construction of the discrete equations. It is simply formedu-lated and very efficient, and no post-processing procedure is required to compute the derivatives of the unknown variables, since the solution from this method based on the moving least squareapproximation is already smooth enough. Numerical examples are given to verify the accuracy of the meshless method proposed for elasto-plasticity analysis.