This paper studies the H∞ stability for a class of discrete-time nonlinear singular system with time-varying delays and external disturbances.Firstly,considering the uncertainty of membership function,the interval type-2 fuzzy system model is used to model the nonlinear singular system.Secondly,based on Lyapunov stability theory,and by using the Jensen inequality technique,a sufficient condition for the H∞ stability of discrete-time interval type-2 fuzzy singular systems with time-varying delays is obtained.Furthermore,the derived condition can be converted into linear matrix inequality.Finally,a numerical simulation example is used to verify the validity and correctness of the result.