Stochastic model checking is a recent extension and generalization of the classical model checking. Stochastic model checking combines the classical model checking algorithms and linear equation solving or linear programming algorithms, moreover, it processes the probability vector instead of the bit vector. Consequently, the state explosion problem is more severe in stochastic model checking than classical model checking. Abstraction is an important means to tackle the state explosion problem, and it has made some progress in applying to the field of stochastic models testing. This study focus on model abstraction for stochastic model checking. First, the problem of model abstraction is formally presented. Then, the advances in the research area are classified and summarized according to the construction technology of abstraction model. At last, the various abstraction technologies are compared in regard to the effectiveness of solving the model abstraction problem, and the future research topics for improvement in solving the model abstraction problem are pointed out.