The complete set of Green&rsquo / s functions for cylindrically layered media is presented. The formulations reported in the previously published work by Tokg&ouml / z (M.S.Thesis, 1997) are recalculated, the missing components are added and a solution to the problem when (rho equals rhop) is proposed. A hybrid method to calculate mutual coupling of electric or magnetic current elements on a cylindrically layered structure using MoM is proposed. For the calculation of MoM matrix entries, when (rho equals rhop) and fi is not close to fip, the closed-form Green&rsquo / s functions are employed. When fi is close to fip, since the spectral-domain Green&rsquo / s functions do not converge, MoM matrix elements are calculated in the spectral domain. The technique is applied to both printed dipoles and slots placed on a layered cylindrical structure. The computational efficiency of the anaysis of mutual coupling of printed elements on a cylindrically layered structure is increased with the use of proposed hybrid method due to use of closed-form Green&rsquo / s functions.