This work prove the convergence of Generalized Finite Difference Method (MDFG), presented as a alternative meshless method to the solution of nonlinear elliptic differential equations. This analysis presented in this work is a theoretical contribution of (MDFG) as an alternative method for the solution of differential equations in domains with irregular geometric. The analysis result shows an linear truncation error of the method for two-dimensional linear problems using a polynomial second-degree approach.