The aim of this study is to examine about the hourly traffic assignment method when the user equilibrium model is applied to the road network including expressway. The toll road including expressway have a lot of features unlike the surface street. For example, the running speed is faster, the capacity of the road is larger and toll is necessary. So we cannot treat it like the surface street equally without some process. In this study, the toll resistance method (toll is converted by time value) and the diversion rate method for the expressway are used as the way of dealing with this problem. Well, this study analyzes the traffic prediction of Nagoya City in the morning peak hours by using the road network around the Nagoya City, and compares two methods. According to the assignment results, the time value is 60.5 yen/person/minute by the toll resistance method, and 40.0 yen/person/minute by the diversion rate method for the expressway. According to the questionnaire investigation, the time value is 62.5 yen/person/minute. So the result of the toll resistance method is close to that of the questionnaire investigation.