The calculation of the transmission line Green’s function (TL GF) of an infinite metal line of rectangular cross section embedded in a generalized stratification is presented. The proposed procedure is quasi-analytical and extends prior models to account effectively for the nonzero thickness of the conductors. From Green’s function of an infinite dipole, an equivalent network is derived to represent the current propagating along the dipole and the reactive loading due to the feeding gap dimensions. The method is validated with numerical simulations and available experimental results. Examples of dipoles in free space, microstrips, and leaky dipoles are shown.