Abstract: In this paper, a criteria on the delay-independent asymptotic stability is given in the form of algebraic Riccati inequality for linear time-varying time-delay systems with multi-state delay and then a stabilizing method is presented with the memoryless state feedback for this time-delay systems. A robust stabilizing method is presented also derived for the uncertain time-delay systems with time-varying multi-state delay and time-varying unknown-but-bounded uncertain parameters. The results are very simple since only an algebraic Riccati equation need to be solved. At last, a numerical example is given to check the results.