Analytical solutions are presented for the static analysis of laminated orthotropic spherical shells subjected to asymmetric loading. The analysis is based on the application of Chebyshev-Galerkin spectral method for the solution of decoupled equilibrium equations in the meridional direction, the circumferential variation of displacements and stresses being represented using Fourier series. Numerical results are presented to show the validity and accuracy of the proposed method. Results of parametric studies for laminated annular hemispherical shells with different orthotropy ratios, opening angles and lamination sequences are also presented. © 1991.