This paper discusses the implementation of an asymmetric network equilibrium model with detailed representation of unsignalized and signalized urban intersections. A software has been developed to solve the deterministic user equilibrium (DUE) problem which takes into account real urban intersections in their detailed configurations. During the first phase this software was tested on a “toy” network and then on the real network of Villafranca (a town near Verona Italy). The comparison between the equilibrium flow patterns resulting from the model and some traffic counts on the Villafranca network confirms that the model is good.