Abstract: A robust control method for a class of neutral distributed parameter systems with delays was given by designing linear feedback controller.The sufficient conditions of the studied systems' stabilization was given by constructing Lyapunov functionals,using divergence theorem and matrix inequality technologies,employing linear matrix inequality approach.The sufficient conditions only need to satisfy two linear matrix inequalities and the linear matrix inequlities could be sovled easily by Matlab,so it could be applied to engineering practice conveniently.Finally,a numerical example was given to illustrate the validity of the method.