Curved section is one of the sections where happened extraordinarily serious traffic accidents in China. Until now, one kind of the traffic safety evaluation method based on the accident indexes, the other based on the non-accident indexes, just as the traffic conflict technique. But there are difficulties in collecting data when the evaluation of traffic safety on specific road sections is applied. So, one safety evaluation method for the curved sections is putting forward, in which the deviation value between the driving track and safe trajectory is used as the evaluation index, and the gray evaluation method is applied. The case study shows that, the method in this paper could be a new way for traffic safety evaluation.