In　order　to　solve　the　problem　of　competition　in　grid　resource,　this　paper　proposes　a　new　grid　resource　allocation　model　on　the　basis　of　Nash　equilibrium.　This　model　first　takes　various　resources　as　participants　in　a　cooperation　game　and　transforms　the　waiting　time　of　jobs　to　a　minimum　or　a　maximum　problem.　Then　the　problem　is　solved　with　a　mathematic　model.　On　the　grounds　of　this　model　a　new　allocation　algorithm　is　accordingly　proposed.　Analysis　proves　that　this　algorithm　can　accomplish　the　sole　Nash　equilibrium　in　a　cooperation　game.