Combining Projection Pursuit(PP)and high-dimensional time series analysis, the synthetic earthquake prediction model of high-dimensional PP time series is built. Selecting Qilian mountain region as research object, its short-term prediction model of the maximum magnitude within three months is made. The qualified rate of prediction test is more than 80%(Prediction error ≤ 0.5 or ≤ 10%). In this paper, it is considered that the model with certain magnitude threshold (M_S ≥ 4.0)is better accordding to the real cases. It is available for the model to increase parameters, dimensions, change prediction periods, and generalize to prediction in other fields.