The new optimization methods of outer layer fibre directions and concentrations of plywood plate with glass fibre-epoxy outer layers are proposed. The first method minimizes structural compliance. It consists of two phases. The fibre directions are optimized in the first phase and concentrations in the second phase. The second method maximizes buckling load for the first buckling mode. The increase of stiffness is about 31% of plate with optimized fibre direction and concentration comparing to similar non-optimized plate. The buckling load of single span rectangular plate could be increased about 34% when optimized GFRP-plywood plate by proposed method.