In　this　paper,　we　consider　a　Beddington-DeAngelis　predator-prey　system　with　stage　structure　for　predator　and　time　delay　incorporating　prey　refuge.　By　analyzing　the　characteristic　equations,　we　study　the　local　stability　of　the　equilibrium　of　the　system.　Using　the　delay　as　a　bifurcation　parameter,　the　model　undergoes　a　Hopf　bifurcation　at　the　coexistence　equilibrium　when　the　delay　crosses　some　critical　values.　After　that,　by　constructing　a　suitable　Lyapunov　functional,　sufficient　conditions　are　derived　for　the　global　stability　of　the　system.　Finally,　the　influence　of　prey　refuge　on　densities　of　prey　species　and　predator　species　is　discussed.　©　2019　Xiao　et　al.,　published　by　De　Gruyter.