Low permittivity insulator layers made of new organic or inorganic materials, associated to conductive layers, with thickness less than one micrometer are more and more used to develop interconnections of microwave or high speed circuits, and electronic packaging. Such thin film microstrip lines have been modeled between 1GHz and 40GHz using a rigorous full-wave method based on a modified transverse resonance technique. Then, comparison between theoretical and experimental propagation constants provides to extract in-situ complex permittivity of insulator and conductivity of conductors by optimization technique.