The traditional route choice models based on expected utility （ EU） are of many disadvantages,while the cumulative prospect theory （ CPT） that accords with traveler＇s bounded rationality can provide an accurate description of traveller＇s decision-making process in uncertain conditions. This paper establishes a CPT-based model for traveler＇s perceive ultility under the condition of random continuous path ultility distribution,and analyzes the properties of the model combined with related variables. Then,a case study is conducted to analyze the difference of traveller＇s route choice behaviors respectively based on the EU and the CPT,finding that the CPT is superior to the EU in terms of describing traveller＇s decision-making process. Finally,the reference point and the route utility distribution are analyzed,which provides a theoritical foundation for the investigation into intelligent traffic control system and its simulation modelling.