For this study, an analysis of a system of transport nodes of the railway and bus service transportation was carried out. A principal scheme of a transport node in typical cities for Bulgaria and a sample flow chart are presented. The categories of basic requirements for transport nodes in cities are also defined. On the basis of a railway system and bus transport nodes in the city of Ruse, Bulgaria, research on the interaction of the system with the mass urban passenger transport has been conducted. As a result, a mathematical model is proposed for the average daily inbound flows of passengers to a specific passenger stop, and a specific route has been modelled to be used as a server. An assessment of the daily irregularity on this route has been performed and a system has been modelled as a system of mass service for assessing the capacity and organization of work. The incoming passenger flows and the speed of passenger service have also been defined as a non-stationary Poisson flow. Under the conditions of non-stationarity flows, the basic values of the system parameters have been calculated and an application has been created in the MatLab platform. For a model of the system of mass service, the system of the differential-algebraic equations Kolmogorov/Erlangen for stochastic processes has been selected.