In this paper,the problem of delay-dependent robust exponential stability is investigated for uncertain singular Marko- vian jump systems with time delay. A delay-range-dependent condition is given which ensures that the nominal system is regular,impulse free, and mean-square exponentially stable in terms of linear matrix inequality (LMI) approach. The criterion is also extended to uncertain case. Numerical examples are given to show that the proposed criteria improve the existing results. In this paper, the problem of delay-dependent robust exponential stability is investigated for uncertain singular Marko- vian jump systems with time delay. A delay-range-dependent condition is given which ensures that the nominal system is regular, impulse free, and mean -square exponentially stable in terms of linear matrix inequality (LMI) approach. The criterion is also extended to uncertain case. Numerical examples are also to show that the proposed criteria improve the existing results.