Calculates the nonlinear load-displacement diagram, maximum stresses by large deflections of the orthotropic clamped spherical thin shell under concentrated force. The methodology of calculation is based on the application of new asymptotic formulae, obtained for the Reissner's equations describing axially symmetric deformation of the orthotropic thin shells of revolution by large deflections. The accuracy of the asymptotic formulae corresponds to the accuracy of the initial equations of thin shell theory.