This　paper　deals　with　the　problem　of　state　observer-based　H-infinity　state　feedback　design　for　linear　stochastic　discrete-time　systems　with　missing　measurements　based　on　a　method　of　linear　matrix　inequality　(LMI).　Criteria　for　the　existence　and　design　method　of　the　state　observers　and　state　feedback　controllers　are　derived.　The　numerical　example　shows　the　feasibility　of　the　proposed　controllers　design　procedure.