In this study, the analysis of the elastic and elasto-plastic stresses on the cross section of a composite laminate with circular hole subjected to in-plane loads is performed. The laminate with a circular hole is subjected to a uniform axial planar load along one edge where no load is exerted along the hole edge. Aluminum metal-matrix composite laminate is composed of four orthotropic plates oriented with different angles in the symmetric and anti-symmetric manner. The elastic and elastoplastic stresses are analyzed with the Finite Element Method (FEM) by means of a program developed with FORTRAN. By the end of the analysis the retained stresses due to yield of the composite laminate are evaluated and the results of the applications are compared.