According to grey gredication model and Markov predication model ideas,the grey predication model is integtated with Markov predication model,this combination model is improved.By using progressive transition probability matrix,the inbound tourists number to Anhui in 2008-2009 is predicated on the basis of Anhui inbound tourists number during 1998-2007 by the models,and the results show that application of improved grey Markov combination predication model can obtain more accurate data than application of traditional grey Markov combination predication model.