A　discrete-time　predator-prey　system　incorporating　fear　effect　of　the　prey　with　the　predator　has　other　food　resource　is　proposed　in　this　paper.　The　trivial　equilibrium　and　the　predator　free　equilibrium　are　both　unstable.　A　set　of　sufficient　conditions　for　the　global　attractivity　of　prey　free　equilibrium　and　interior　equilibrium　are　established　by　using　iteration　scheme　and　the　comparison　principle　of　difference　equations.　Our　study　shows　that　due　to　the　fear　of　predation,　the　prey　species　will　be　driven　to　extinction　while　the　predator　species　tends　to　be　stable　since　it　has　other　food　resource,　i.e.,　the　prey　free　equilibrium　may　be　globally　stable　under　some　suitable　conditions.　Numeric　simulations　are　provided　to　illustrate　the　feasibility　of　the　main　results.