In this paper, a control allocation fault-tolerant control method based on a fault parameter identification for Hypersonic Reentry Vehicle \( \left({\mathrm{{HRV}}} \right) \) is investigated. A backstepping controller is employed to compute the desired torque. A chain distribution strategy facilitates the allocation of this desired torque among the aerodynamic surfaces, with the aerodynamic surface serving as the primary actuator. The least squares method is utilized for parameter identification in scenarios where the aerodynamic surface experiences failure or becomes stuck, resulting in an inability to generate the necessary aerodynamic torque. In addition, an integer programming method is implemented to assign the reaction control system (RCS) to compensate for any remaining torque requirements, thus achieving fault-tolerant control (FTC) to guarantee the tracking performance of the system. Additionally, the stability of the attitude control system is verified theoretically by the Lyapunov approach. Finally, the numerical HRV examples are given to confirmed the effectiveness of the proposed fault-tolerant control scheme.