Abstract: A D-stable robust fault-tolerant controller is designed for discrete multi-time-delay systems.Firstly，the sufficient condition of D-stability is given for sensor failure.Secondly，the condition is generalized to the systems for actuator failure and uncertainties.This robust fault-tolerant controller can make the systems remain stable and have satisfying performances.Moreover，the controller can be realized easily in practice.Finally，an illustrative example is given to demonstrate the correctness of the proposed method，and the result of the example is analyzed.