Traffic congestion needs a simulation model to reduce its effects on traffics jams and pollution. The traffic cessation caused by the large number of vehicles exceeding the capacity of the road users. This study applied a stochastic program to the traffic congestion; it causes most of the working hours to be spent on roads that indirectly place a negative impact on economic growth. It also causes serious air pollution that will worsen the overall environmental condition. Data obtained show the factors causing traffic congestion in the city of Medan and with approach the stochastic program model used to solve this problem. Data indicated that there are four factors causing traffic congestion in Medan, which are non-growth of road, economic growth, population growth, and increase of motor vehicle.Population factor; the existence of good population growth caused by natural and migration growth. It concludes that the traffic jams are due to the socio-economic factors; namely the development of community business activities. Also socio-cultural factors; the existence of changes in the pattern of life and public order due to outside influences, communication, and information systems.