Abstract: The robust stabilization for uncertain linear systems with time-delay is investigated by Lyapunov functional approach. The uncertainties are assumed to be norm-bounded and time-varying matrices. An inequality between Schur complements of two symmetric matrices is established. Then, an inequality for the upper bound of uncertain quadratic functions is obtained to estimate the Lyapunov functional derivative. Estimating the uncertain quadratic functions and performing some matrix manipulation, the negativity of Lyapunov functional is converted into a feasibility problem of linear matrix inequalities, thus giving a sufficient condition for robust stabilization. Meanwhile, the gain matrix of a robust state feedback controller is constructed via the solutions of the linear matrix inequalities. Numerical examples showed the robust stabilization method obtained in this way is less conservative.