A fundamental property of fault-tolerant systems, called reconfigurability, is discussed for a class of hybrid control systems based on the hybrid controllability concept. A faulty hybrid system is reconfigurable if it preserves the property of hybrid controllability under assumption that the nominal system is hybrid controllable. The approaches proposed in (Yang_Verhaegen_Wang_Chen:1998,Yang_Blanke:2000a) for the analysis of hybrid controllability are extended for the reconfigurability analysis. In addition, the modeling of the faulty system and the functional redundancy are also discussed and illustrate by examples.