This paper focuses on the implementation of the MLPG formulation for layered plates. For this purpose implementaton of homogenization theory was required and analyses were performed in order to obtain homogenized material properties of composite plates. Software for homogenization of material properties uses direct homogenization method that is based on volume average of stresses in the representative volume element (RVE). Homogenization is performed by linking MATLAB and ANSYS software. Obtained data are used in analyses carried out in own software which is based on the MLPG method. Strain, stress and displacement fields were evaluated. Results obtained by MLPG were compared with those obtained by FEM programs ANSYS and ABAQUS. and Obsahuje seznam literatury