This　paper　presents　a　study　on　a　Lotka-Volterra　ammensalism　model　that　incorporates　the　fear　effect,　which　can　potentially　decrease　the　birth　rate　and　raise　the　mortality　rate　of　the　species.　For　the　autonomous　case,　equilibrium　points＇　local　and　global　stability　are　discussed.　For　the　nonautonomous　case,　sufficient　conditions　which　ensure　the　persistence　and　extinction,　and　global　asymptotic　stability　of　the　positive　solutions　are　obtained,　respectively.　The　study　has　shown　that　with　the　increase　of　the　fear　effect,　the　final　density　of　the　affected　population　will　decrease,　and　when　the　fear　effect　is　large　enough,　it　will　cause　population＇s　extinction.