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This paper presents a generalized approach to derive the dyadic Green's function of arbitrary multilayer structures in planar, cylindrical and spherical coordinate systems. It is based on a full-wave equivalent-circuit representation that makes it possible to apply simple network analysis techniques. The planar stratified structures may be laterally bounded or open, the cylinders or spheres circumferentially closed or limited sectors. The procedure can be extended to other coordinate systems and anisotropic materials by means of a generalized transmission-line approach. For a demonstration of the applicability of this method, the derivation of the dyadic Green's functions in spectral domain of some commonly used cylindrical and spherical microstrip structures are presented.