This paper mainly researches the sliding mode control of uncertain neutral system.The system involves multiple timevarying delays and nonlinear external perturbations.A sliding surface is designed based on the current state and delayed state.The design of the sliding mode controller guarantees that the trajectory of system can be driven onto the sliding surface in a finite time and maintains moving on it.By the Lyapunov function，a sufficient condition given in the form of linear matrix inequality for asymptotic stability of the closedloop system is obtained.