In this research, the free vibration analysis of cylindrical shells with longitudinal stiffeners, i. e. stringer with analytical method, for eight different types of simply supported and clamped boundary conditions is investigated. Ritz method is applied in analytical solution while stiffeners treated as discrete elements. The stiffened shell is loaded axially under static pressure and supports are axially follower force type. Some analytical results for natural frequencies are compared with other’ s experimental and analytical results, which showed good agreement. Furthermore, variations of natural frequencies, fundamental frequency and natural mode shapes for mentioned boundary conditions are studied and in some cases, these results are compared with FEM results. Also, the effect of stiffener eccentricity on natural frequencies, especially fundamental frequency is considered. Furthermore, variations of natural frequencies for different axial static pressure load are considered and with plot of these, the buckling load is determined.