Abstract: The problem of robust stabilization for a class of uncertain switched singular systems with time-delay is considered. Firstly, by means of the multiple Lyapunov functional method and linear matrix inequality (LMI) tools and by introducing some appropriate free-weighting matrices, a delay-dependent stability criterion is given to ensure that the nominal unforced switched singular system is regular, impulse free and asymptotically stable under an appropriate switching law in terms of strict LMIs. Then, based on the criterion, a delay-dependent sufficient condition is deduced by designing state feedback sub-controllers, such that the resultant closed-loop systems are regular, impulse free and asymptotically stable for all admissible uncertainties. An explicit expression for the designed sub-controllers is also given. Numerical examples show that the results obtained are effective.