The asymptotical stability problems of a class of neutral type singular systems with time delays are considered. First, the neutral type singular system with time delays is transferred into a neutral type system with the constraints. Then, two sufficient conditions for the stability of systems are obtained by using the theorem of Lyapunov stability and the technologies of linear matrix inequality. The results in this paper may also be the criteria of stability for linear singular time delayed systems, and are less conservative than the existing ones. Finally, the simulation experimentations illustrate the effectiveness of the proposed methods.