A stochastic traffic assignment method considering the impact of traffic congestion information based on the direction penalty is presented to calculate the traffic flows under traffic congestion information. The travelers who are assumed to have logit style route choice behavior are divided into two groups named “stochastic users” and “information users”. The “stochastic users” are not affected by traffic information and chooses route according to the normal route impedances

while the “information users” will follow the traffic congestion information to update route impedances and their route choices are based updated impedances. A direction penalty is added to the roadroad connector to reflect the increased impedances by congestion information

a modified Dial algorithm with the consideration of direction penalty is employed for stochastic network loading of different users and method of successive average is used for stochastic traffic assignment. Two numerical examples demonstrate that the proposed method is efficient and robust

and the impacts of acceptance of traffic information and traffic information publishing strategies are discussed.