In the paper, a software Traffic Simulation Framework is presented. This is an advanced tool for simulating and investigating real vehicular traffic in cities. The software is being developed for few years by the author of the paper and gained recognition and popularity among scientists all over the world. It can be used for conducting advanced experiments related to predicting, managing and optimizing vehicular traffic in cities. The paper introduces cellular automaton-based simulation model, TSF Model, inspired by well-known Nagel-Schreckenberg Model for simulating vehicular traffic on highways. The TSF Model was implemented as a core simulation engine in the TSF software. The paper also presents software's main features, functionalities, recently introduced improvements, plans for the further development and summarizes its previous applications.