Residual stress analysis is carried out in a thermoplastic composite laminated plate for transverse loading. Low-density polyethylene thermoplastic matrix (LDPE) and steel fibers are used to produce the composite plates by using molds. The first order shear deformation theory and nine nodes Lagrangian finite element is used. Mathematical formulation is given for the residual stress analysis of a laminated plate for small deformations. Yield points and stresses are obtained for symmetric and antisymmetric laminated plates with a circular hole. Residual stresses in plates are given in tables. The expansion of plastic zones is illustrated for 500, 750 and 1000 load steps. Yield points and the expansion of plastic zones are compared for different plates with a circular hole. Mechanical properties of a layer are obtained experimentally.