Abstract: This paper discusses the optimum design for laminated plates which can bear the internal pressure and simultaneously the one dimensional and unstable temperature field in the radial direction. The thickness of laminated plates is considered as the object function and the winding angle as the design variable. A calculated example is given, in which the optimum design data are provided for the filament wound pressure vessel under internal pressure and every moment in the whole process of the sudden inner medium temperature change to stable temperature field.