This　paper　deals　with　the　global　existence　and　the　blow-up　properties　of　the　nonnegative　solutions　to　a　semilinear　parabolic　system　with　nonlocal　sources,　subjected　to　null　Dirichlet　boundary　conditions.　By　using　the　upper-lower　solution　method,　the　sufficient　conditions　on　the　global　existence　and　blow-up　in　finite　time　of　the　nonnegative　solutions　are　obtained.　©　2011　IEEE.