In　this　paper,　we　study　a　stage-structured　predator-prey　model　incorporating　time　delay　with　prey　growth　subject　to　a　strong　Allee　effect.　By　analyzing　the　characteristic　equation　of　the　corresponding　linearized　system,　we　investigate　the　local　asymptotic　stability　of　the　system　according　to　the　change　of　birth　rate　in　prey.　Using　the　delay　as　a　bifurcation　parameter,　the　model　undergoes　a　Hopf　bifurcation　at　the　positive　equilibrium　when　the　delay　crosses　some　critical　values.　On　the　other　hand,　we　show　that　both　predators　and　prey　will　go　extinct　if　the　birth　rate　is　small　or　the　Allee　effect　is　large.　©　2019,　International　Association　of　Engineers.