An elastic-plastic stress analysis and the expansion of plastic zone in layers of woven steel fiber-reinforced thermoplastic matrix-laminated plates are studied by using the Finite Element Method and the First-order shear deformation theory for small deformations. Composite structures consisting of woven Cr-Ni wire as a fiber and F2.12 low-density polyethylene as a thermoplastic matrix were manufactured by hot-press molding. The mechanical properties were experimentally determined. The effect of orientation angle and symmetric-antisymmetric structures were investigated. It is assumed that the laminated plates are subjected to in-plane uniform loads. Loading is gradually increased from yield point of the plate as 0.01 MPa at each load step. Load steps are chosen as 300, 400, and 500.