A　nonautonomous　discrete　two-species　Lotka-Volterra　commensalism　system　with　delays　is　considered　in　this　paper.　Based　on　the　discrete　comparison　theorem,　the　permanence　of　the　system　is　obtained.　Then,　by　constructing　a　new　discrete　Lyapunov　functional,　a　set　of　sufficient　conditions　which　guarantee　the　system　global　attractivity　are　obtained.　If　the　coefficients　are　almost　periodic,　there　exists　an　almost　periodic　solution　and　the　almost　periodic　solution　is　globally　attractive.　©　2015　Yalong　Xue　et　al.