The delay-dependent robust stability is concerned for the neutral type systems with time-varying uncertain coefficients and discrete multiple delays in this paper.Based on linear matrix inequality,a simplified method is proposed to calculate the free weighing matrices and the upper bounds on the delays for the system.Both neutral delays and discrete delays are considered in the system and some sufficient conditions for the stability and robust stability of the system are derived.The numerical example is given to demonstrate that the proposed method is feasible and less conservative.