This paper describes a method for the localization of wireless mobile clients in multistory buildings using a wireless LAN system. The method uses public wireless LAN access points for users and robots that are settled at many places in a multistory building. Data on the physical position of personal electronic devices or mobile robots are important in information services and robot applications for construction automation such as the maintenance task in the large scale building. By integrating the data and stored information on objects and places, people and robots can be provided with information on the location of the devices for achieving the tasks. The localization method using few devices is expected for real application such as a navigation of the mobile robots, information services for users who have mobile clients. The paper focuses on the data acquisition for stochastic localization of the wireless LAN client in multistory building. The data acquisition is a crucial issue for making and verification of the localization system. Experimental results show feasibility of the proposed method.