The microstrip circuits are analyzed using the Gaussian Green’s function method (GGF) together with network analysis method. The main advantage of the GGF lies in its precision as well as rapid convergence. The multiport network analysis of microstrip circuits can effectively reduce the complexity of the modeling. A novel method is derived by combining of the multiport network analysis and GGF. To demonstrate the versatility of this method, the current distribution of two microstrip filter circuits is achieved by this method. The results are compared with the results of the commercial full-wave software of Ansoft Designer. It is shown that this method is much more accurate and valid.