Thin shell structure can show interesting bi-stable behavior. As a novel deployable structure, it shows a broad application prospect in the field of aeronautics and civil engineering, etc. The thesis deduces the general constitutive equations of thin shell structure on the basis of classical laminate theory. If the layup of the composite is anti-symmetric, the results show that there exist tension-bend coupling in the deformation of the shell structure; if the layup is symmetric, there exist bend-twist coupling. For isotropic shell, it has no tension-bend and bend-twist coupling, but if made unstressed from isotropic materials it is only stable in the initial configuration, which coincides with the known conclusion.