Abstract: The model that describe movement disciplinarian of distance headway in car following is an important content of car following theory.In this paper, time serial car following data proves that speed movement of a following car keeps pace with a leading car, while speed of following car increases, distance headway increases too, and while speed movement of a following car descends, distance headway decreases.There are expectation distance headway at various speed of following cars.The Stat.Regression Models of expectation distance headway-speed of following cars, and expectation headway-speed of following cars are parabolas.