Abstract: 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.