In　this　paper,　we　consider　an　impulsive　delay　Logistic　model.　First　by　mathematical　analysis,　we　obtain　the　maximum　and　minimum　values　of　solutions　of　the　corresponding　autonomous　Logistic　model.　Then　by　applying　the　comparison　theorem　and　constructing　some　suitable　Lyapunov　functionals,　we　discuss　the　permanence　and　the　global　attractivity　of　the　model,　based　on　the　boundedness　of　solutions　of　the　corresponding　autonomous　Logistic　model.　An　example　together　with　its　numerical　simulation　is　given　to　verify　our　main　result.　(C)　2016　Elsevier　Ltd.　All　rights　reserved.