Global　synchronization　analysis　for　complex　networks　with　time　varying　coupling　delay　is　investigated　in　this　paper.　The　delay　considered　in　this　paper　is　time-varying.　Sufficient　conditions　depending　on　the　time　delay　are　given　based　on　Lyapunov　functional,　linear　matrix　inequality　and　Kronecker　product　technique.　We　find　that　the　conditions　are　dependent　on　the　bounds　of　both　time-delay　and　its　derivative,　and　the　derivative　of　the　time-varying　delay　can　be　any　value　in　the　bounds.　Finally,　a　numerical　example　is　given　to　validate　the　effectiveness　of　the　obtained　results.