In this paper, because of the core for game is usually empty , based on the core of the stochastic cooperative game1 and the core of the n-person repeated stochastic cooperative game5, we define the core of the stochastic cooperative game and the core of the -person repeated stochastic cooperative game. Thus, we recuperate the defect in theory that the core is empty usual. And we introduce some characters and properties about core of the stochastic cooperative game and the core of the n -person repeated stochastic cooperative game.