According to the theory of the equivalence between the independence and the uncorrelation of two random variables, which only need two values, a joint probability distribution's integrated expressive form is found. Through extending the theory to multidimensional joint probability distribution of two states, a multidimensional description is multidimensional is discovered. If marginal distributions of all random variables are written down, the range of each correlative coefficient can be calculated and then the joint distributed matrix can be found. The validity of this method is verified through simulations. By the way, this is applied to the description of joint channel from data communications and a highly fine conclusion is achieved.