In this study, an elastic-plastic stress analysis is carried out on simply supported and clamped cross-ply and angle-ply steel fiber reinforced thermoplastic composite laminated plates under transverse loading. Classical lamination theory with first order shear deformation theory are used for small plastic deformations. The orientation angles are chosen as [0degrees/90degrees](2), [30degrees/-30degrees](2), [45degrees/-45degrees](2), [60degrees/-60degrees](2) for symmetric and antisymmetric cases. Loading is gradually increased in sequence of 100, 300 and 500. The expansion of the plastic region and the residual stress components are obtained by using the finite element technique.