Abstract: The design of H∞ static feedback controller is studied for a class of linear neutral delay system. Based on the concept of H∞ performance in time domain, Lyapunov-Krasovskii stability theorem and linear matrix inequalities are used to establish a delay-dependent stability criterion, then a sufficient condition is derived to stabilize asymptotically the neutral system under consideration and satisfy the desired H∞ bound constraint on the disturbance attenuation. A sufficient condition is given to the existence of a H∞ memoryless state-feedback controller with the conceptual design. The conclusion shows less conservation in comparison with the delay-independent H∞ controller of the system. The numerical simulation verifies the validity and effectiveness of the proposed approach.