In this paper, the two-edged double point angle drill, three-edged double point angle drill and arcshaped drill were used to drill CFRP.The characteristics of drilling thrust force versus time curve are studied.And the model of predicting the time varying curve of thrust force is constructed by using the method of predicting the critical inflection point of the time varying curve.The results show that the thrust force curve of the three-edged double point angle drill is the most stable, it means that the drilling process is the most stable.The maximum thrust force is the three-edged double point angle drill, followed by the arc-shaped drill, and the minimum is the two-edged double point angle drill.So, the two-edged double point angle drill is suitable for drilling CFRP.The thrust force versus time curve constructed by the method of predicting the critical inflection point on the time varying curve of thrust force can predict the thrust force versus time curve of double point angle drill.