Bastd on dealing with the initial data of the gas emissing quantity of mining coal face by natural logarithm,the improved grey model(1,1) is built.The improved Grey Markov prediction mode is built through uniting the improved grey model(1,1) and the Markov mode.Comparing the fitting precision of the improved grey model(1,1),the Grey Markov prediction mode and the improved Grey Markov prediction mode respectively through actual survey data in scene,it shows that the precision of the improved Grey Markov prediction mode is the best of the three and its result is correct and reliable,having certain general applicability.