Abstract： [Objectives] In order to study the vibration of ring stiffened conical shell by analytical method. [Methods] The conical shell is divided into sections, and the displacement of conical shell is written in the form of power series solution. The recurrence relation of the coefficients before the term is derived in detail. At the same time, the beam model is used to simulate the influence of ring stiffeners on conical shell. Finally, the boundary conditions, displacement and internal force matrices of the conical shell sections and ring stiffeners are assembled and solved. The vibration response of ring stiffened conical shell under harmonic external excitation is obtained. [Results] The calculation results are compared with those of finite element software, and he results show that the method of combining analytical method with beam model is effective. It is found that the method converges when the number of sections, power and circumferential modes reach 30, 10 and 15 respectively. It is also found that the vibration amplitudes of the same position but different directions are different, but the peak positions are the same. Finally, the influence of the number of ring stiffeners on the vibration response is studied. [Conclusions] The results show that the method has a certain significance for the theoretical study about vibration of ring stiffened conical shells.