The problem of state feedback control design is investigated for a class of distributed parameter systems with
both time-varying delay and continuous distributed time-delay. By selecting an appropriate Lyapunov-Krasovskii function, a sufficient condition is obtained to guarantee the asymptotical stability of the closed-loop system with time-varying delay by using a linear matrix inequality(LMI) approach. A memoryless state feedback controller is designed, such that the closed- loop system is stable when a positive matrix exists. Thus, a corollary of stabilization is established for the case of constant time-delay. Finally, a numerical simulation example is given to illustrate the feasibility and effectivity of the proposed method.