The localizability analysis for wireless sensor network is of great significance to network localization, and topology control. In this paper, the localizability problem for the bearing-based localization is investigated. An identification method for bearing rigid component is presented, and the localizability is studied for the determined bearing rigid component. In the identification process for bearing rigid component, the center node is introduced, and an approach for identifying the bearing rigid component is proposed based on the characteristic of the bearing rigid graph by using the center nodes.