Concerned　in　this　paper　is　a　discrete　predator-prey　system　with　Allee　effect　and　other　food　resources　for　the　predators.　The　conditions　on　the　existence　and　stability　of　fixed　points　are　obtained.　It　is　shown　that　the　system　can　undergo　fold　bifurcation　and　flip　bifurcation　by　using　the　center　manifold　theorem　and　bifurcation　theory.　Numerical　simulations　are　provided　to　illustrate　the　feasibility　of　the　main　results　and　the　influence　of　Allee　effect　on　the　stability　of　the　system.　Our　study　indicates　that　other　food　resources　for　the　predator　can　enrich　the　dynamical　behaviours　of　the　system,　including　cascades　of　period-doubling　bifurcation　in　orbits　of　period-2,　4,　8,　and　chaotic　sets.