Meshless method is a new type of numerical analysis that rectifies the drawbacks of mesh based methods like FEM (Finite Element Method). Meshless method is based on Element free Galerkin method and is developed for the laminated composite plates for flexural analysis. First order shear deformation method is employed in this work to the displacement shape functions. For the results, suitable boundary conditions are adopted. The accuracy of the solution obtained is established by comparing the results with the exact and FEM, solution which is available in literature.