The proposed research studies the traffic routing and equilibrium with traffic safety rather than travel time or fuel use as the main factor that affects travelers’ routing choice. The safety (i.e. accident risk) is described as a random variable that depends on traffic conditions and location specific characteristics for each road. Network equilibrium models will be developed for two distinct scenarios, namely, each traveler minimizes his or her own accident risk (user-optimal) and travelers cooperated to minimize the total accident risk in the network (system-optimal). System performance, such as total travel cost, total risk of accidents, equity of safety among all travelers, will be evaluated for both scenarios.