In　this　paper,　we　consider　a　periodic　multi-species　Kolmogorov　type　competitive　system　with　delays　and　feedback　controls.　Applying　Schauder＇s　fixed　point　theorem,　a　criterion　on　the　existence　of　the　positive　periodic　solution　of　the　system　are　obtained.　As　application,　the　existence　of　the　positive　periodic　solution　of　a　kind　of　nonlinear　competitive　model　with　delays　and　feedback　controls　is　discussed.　(c)　2005　Elsevier　Inc.　All　rights　reserved.