A　discrete　two-prey　one-predator　model　with　infinite　delay　is　proposed.　A　set　of　sufficient　conditions　which　guarantee　the　permanence　of　the　system　is　obtained.　By　constructing　a　suitable　Lyapunov　functional,　we　also　obtain　sufficient　conditions　ensuring　the　global　attractivity　of　the　system.　An　example　together　with　its　numerical　simulation　shows　the　feasibility　of　the　main　results.　Copyright　©　2009　Z.　Yu　and　Z.　Li.