The topic of the final paper is modelling the distribution of travel in public urban transport of passengers on the example of the tram Line number 6. The collected data will define that the transport demand management can influence the travel time, the mode of travel, the choice of route, but also the choice of final destination that the passenger will choose on his journey. To improve the tram Line number six, basic reconstructions and corrections are required, in the form of isolating lanes from the rest of traffic and at certain intersections, with the help of light signalling, to achieve faster vehicle passing. A new timetable system is also necessary, because the existing one is outdated and has certain disadvantages. The paper is divided into two parts. The first part of the final paper describes the history of Zagreb and the beginnings of public urban transport. Public transportation of passengers in the City of Zagreb is done by the Zagrebački električni tramvaj d.o.o. (ZET) The ZET line network is formed in accordance with the spatial distribution of the population and is in a function of the total transport demand. In the central part of Zagreb, within the area of the most intense movement of passengers, a network of trams and bus lines has been formed, and in the peripheral part, transport runs only by buses. The second part presents the important characteristics of modelling the distribution of travel, on the example of Line number 6 operating on the section of the Črnomerec - Sopot route, one of the most demanding and comprehensive lines in tram traffic. The line is covered by 16 timetables (0601 - 0616), there are 22 tram stops on the line with turnarounds at Črnomerc and Sopot. There are two types of tram cars on the line, ten timetables with four articulated NT 2200 motor cars and six ČKD T4YU with TP 801 trailer.