Taking the method of literature and materials,and mathematical statistics,this paper introduces construting process of GM(1,1) Model and uses this Model to have forecasted the First Place Player competing result of female shot in the 17th Asian Games,the fitting degree of the First Place Players competing results of female shot of the Asian Games in recent five times is better,and fitting model y=16085e-(0.000001k)+18130.After residual test,correlation test and posterior error test,the results show that this Model has good forecast accuracy and practicability and can be used to forecast the First Place Player competing result of female shot in the 17th Asian Games,and the forecasted competing result of the First Place Player of female shot is 20.45m.