The maritime transport of goods enables economic exchanges at a global level. Containership, sea routes, port systems and relative performances (e.g. times and costs) influence the quality and quantity of these exchanges. For these reasons, it is necessary to develop quantitative methods for evaluating the main performances of maritime container services. At the same time, ICT (e.g. Automatic Identification System, AIS) enable the acquisition and collection of information and data for supporting Transport Simulation Models (TSM), useful for calculating the performances. In this context, this paper presents a method for building a supply transport network model of container maritime services. The method is based on the acquisition and elaboration of data deriving from the AIS. The supply model allows the calculation of indicators for evaluating the main performance of containership services at the international level. The proposed method is applied to developing a pilot study of maritime containership services in a portion of the Mediterranean Sea. The results of the pilot consist of the representation of a transport network obtained from the available AIS data. The obtained results show the main potentialities of the proposed method for developing TSM from the fed by the AIS data. The method and results obtained are of potential interest to public and private decision-makers and takers involved in the maritime transport sector.