In　this　work　the　global　stability　of　a　unique　interior　equilibrium　for　a　Leslie-Gower　predator-prey　model　with　feedback　controls　is　investigated.　The　main　result　together　with　its　numerical　simulations　shows　that　feedback　control　variables　have　no　influence　on　the　global　stability　of　the　Leslie-Gower　model,　which　means　that　feedback　control　variables　only　change　the　position　of　the　unique　interior　equilibrium　and　retain　its　global　stability.　(C)　2009　Elsevier　Ltd.　All　rights　reserved.