This paper describes the state space model for estimation of the mobile wireless client based on sensor data fusion. Data pertaining to the physical positions of personal electronic devices or mobile robots are important for information services and robotic applications. We deal strength of received signals of wireless LAN signals from the wireless LAN access points for localization of mobile clients in multistory buildings. The output of accelerometer has uncertainty; we apply the probabilistic model of the estimation result of location using wireless LAN signals and the acceleration acquired by the sensor as the observation model. We use an acceleration of the mobile client as the sensor data. In addition, a method for simplified measurement for making the fingerprinting-type estimation system based on the pacing motion by the human is discussed. Experimental results show the feasibility of the method.