Based on player excess, this paper studies the cooperative games in which the characteristic functions are expressed with interval values, and also the cooperative game with infinite number of fuzzy coalitions and interval values characteristic functions. In order to avoid the interval subtraction, player excesses are defined by the distance between interval values. Then, the sum of all player excesses is minimized and the solutions of two types of interval values cooperative games are obtained by constructing a mathematical programming model. Moreover, some useful properties of the solutions are discussed. Finally, a numerical example is given to illustrate the applicability and effectiveness of the proposed model which provides a new method for solving interval values cooperative games.