Discussed in this paper is the bending moment supporting mechanism of laminated rubber bearings with a hollow circular section. The flexure stiffness of the hollow circular rubber bearing is analytically studied. The followings are the key issues discussed in this paper. (1) Derivation of the general governing equation that determines the distribution of pressure inside of the laminated rubber material. (2) Evaluation of the effect of bulk modulus on the bending stiffness. (3) Proposition of a simple formula that is close to the rigorous solution. (4) Discussion of the performance of hollow circular sections based on the analytical solutions.