We develop a method for designing of cylindrical composite pressure vessels under limitations on strains. An experimental study of the high-pressure vessels made from the hybrid materials has been accomplished in order to justify applicability of the simplified model of the material. A graphical method of the problem solution allows us to determine the thickness of layers under the given angles of reinforcement providing the condition of minimal mass. We prove that the mass minimum can be obtained when two limitations are active. Besides the traditional limitations of strains by (1) additional winding of the material, and (2) switching to the material of higher rigidity, the opportunity (3) of the replacement of the circular additional winding by the second spiral level is revealed. It is proven that under the limitation of longitudinal deformation, the replacement of the circular layer to the second spiral one makes higher efficiency than using the material of higher rigidity. The approximate formulas for calculation of an optimal angle of reinforcement of the second layer under different conditions of limitation of strains are obtained. We also develop a numerical algorithm for determination of the optimal parameters of high-pressure vessel. The numerical examples are presented.