This paper investigated the impact of asymmetric preference on travelers’ route choices. Firstly, a status quo-dependent route choice mode was developed to describe travelers’ route choices. Then, based on that model, a route choice experiment was conducted, and during the experiment, participants were requested to choose a route from two arbitrary non-dominated routes. Finally, according to the observation data, data analysis and model parameter estimation were conducted. The results show that participants used different measures to trade off travel cost and travel time. Additionally, there was a gap between most participants’ willingness to pay (WTP) and willingness to accept (WTA). Moreover, participants’ WTP greater than their own WTA was the key reason resulting in the inertial route choices. The empirical results in this paper can help the traffic manager to understand travelers’ inertial route choice behavior from a different perspective.