This　paper　deals　with　the　problem　of　robust　H∞　state　feedback　control　with　the　α-stability　constraint　for　linear　time-delay　systems　with　norm-bounded　parameter　uncertainties　in　all　matrices　of　a　state-space　representation.　The　sufficient　condition　for　the　existence　of　the　solutions　to　the　problem　is　presented　in　terms　of　one　linear　matrix　inequality　(LMI).　Through　some　manipulations　and　Schur　complements,　the　controller　design　is　reduced　to　a　convex　optimization　problem.　The　solutions　can　be　readily　obtained　using　existing　LMI　Toolbox　without　pre-selecting　any　parameter.　A　numerical　example　is　provided　to　illustrate　the　proposed　design　approach.