This　paper　deals　with　stabilization　of　LTI　switched　systems　with　input　delay.　Lyapunov　functions　are　introduced　to　construct　switching　law　in　order　to　stabilize　this　kind　of　system.　Necessary　and　sufficient　conditions　are　presented　for　both　asynchronous　switching　and　synchronous　one.　Precisely,　after　a　proper　change　in　state　space　the　conditions　can　be　expressed　in　terms　of　matrix　inequalities.　Finally,　a　numerical　example　shows　the　use　of　the　main　results.　©　2005　IEEE.