Abstract: In this paper, a stable characteristic equation for coupled shear wall tall duilding is derived by idealizing the structure as a shearflexure cantilever and adopting continuous medium assumptions. And the method of ordinary differential equations(ODEs) solver is employed to study the eigenproblem of stability. First, the eigenproblem should be transformed into the ‘standard’nonlinear problem of ODEs boundary value. Then, the equivalent nonlinear problem is computed by using modified ODE solver. In comparison with the results calculated by Galerkin method of weighted residuals and finite difference method shows that the existing ODE solver can conveniently be taken for accurate and reliable solution of the eigenproblem of stability.