Abstract: The robust fault detection filter design problem for a class of singular time-delay systems with parameter uncertainty and disturbance is studied. Using an observer-based fault detection filter as the residual generator, the fault detection filter design is converted to an H∞ filtering problem such that the generated residual is the H∞ estimation of the fault. Sufficient conditions are given to guarantee the H∞ fault detection filter exists. By using the cone complementarity linearization iterative algorithm, the linear matrix inequality method to design the fault detection filter is given. A numerical example is given to illustrate the effectiveness of the proposed algorithm.