In　this　paper,　we　consider　a　nonautonomous　two-species　impulsive　competitive　system　with　infinite　delays.　By　the　impulsive　comparison　theorem　and　some　mathematical　analysis,　we　investigate　the　permanence,　extinction　and　global　attractivity　of　the　system,　as　well　as　the　influence　of　impulse　perturbation　on　the　dynamic　behaviors　of　this　system.　For　the　logistic　type　impulsive　equation　with　infinite　delay,　our　results　improve　those　of　Xuxin　Yang,　Weibing　Wang　and　Jianhua　Shen　[Permanence　of　a　logistic　type　impulsive　equation　with　infinite　delay,　Applied　Mathematics　Letters,　24(2011),　420-427].　For　the　corresponding　nonautonomous　two-species　impulsive　competitive　system　without　delays,　we　discuss　its　permanence,　extinction　and　global　attractivity,　which　weaken　and　complement　the　results　of　Zhijun　Liu　and　Qinglong　Wang　[An　almost　periodic　competitive　system　subject　to　impulsive　perturbations,　Applied　Mathematics　and　Computation,　231(2014),　377-385].　©　2019　He　et　al.,　published　by　De　Gruyter.