With　the　help　of　a　continuation　theorem　based　on　Gaines　and　Mawhin＇s　coincidence　degree.　easily　verifiable　criteria　are　established　for　the　global　existence　of　positive　periodic　solutions　of　neutral　Lotka-Volterra　system　with　periodic　delays　and　feedback　control.　Our　results　extend　and　improve　existing　results,　and　have　further　applications　in　population　dynamics.　(C)　2004　Elsevier　Inc.　All　rights　reserved.