With more understanding of the uncertainty in the traffic system，researchers have realized that the ‘expected utility theory’based on the absolute rationality shows limitation in analyzing route choice behavior under the risk environment and that the anticipated regret theory proposes an alternative framework to the tradi-tional risk-taking in route choice behavior． In this paper，the anticipated regret theory ( AＲT) is applied to analyzing the route choice behavior under the risk environment，and the consistent risk aversion assumption of the travelers is extended to multiple risk aversion． Moreover，a stochastic user equilibrium model is established as well as its variational inequality expression and the solution algorithm is given． Both the model and the algo-rithm are demonstrated in a numerical example． The results show that the regret psychology is not always sig-nificant in the route choice process． In the non-risk and extreme risk environment，the travelers’regret psy-chology on the route choice is weak． But when the environment is between non-risk and extreme risk，the travelers’regret psychology has a significant impact on the route choice process．