In general the model is a simplified performance of the real world. It enables understanding, changing and maintaining features, predict and influence the behavior of the system under consideration. Development of transport models makes possible test traffic conditions and observing the behavior of modeled situations rather than build real system. Due to improvement of computer perfomance, model has become more and more usefull for measuring and testing different scenarious. Similar process done in the real environment would be very difficult and expensive. Lately has appeared the third group of models that are becoming increasingly useful and eliminates the gap between macroscopic and microscopic models. These are mesoscopic simulation models, which include the method of dynamic assignment and are very suitable for modeling large-scale networks where the amount of traffic vary during the day. Traffic users are described in high detail, but their interactions are defined on the lower level versus microsimulation. The emphasis of work is on development and possible application of mesoscopic traffic model based on dynamic assignment method knows as DTA, which stands for "Dynamic Traffic Assignment." In the professional use of the mesoscopic models often it has been dubbed as the DTA models. The purpose of the master thesis is confirming DTA model as aplicable traffic modeling tool on urban and suburban large-scale areas, obtain precise information about delays, path, travel time and speed, etc. Practical work consist of comparison the DTA model versus state-of the art microscopic simulation model. Followed by presenting the development of the base year of DTA model for the area of the Municipality of Ljubljana and the aplication on the different network scenarios.