In order to effectively enhance the stability performance of traffic flow, based on the optimal velocity difference (OVD) model, an improved model containing acceleration term is deduced with the consideration of the effect of information about the nearest-neighbor leading car’s acceleration to the following car. In the model, a parameter p is introduced, which expresses the consideration of the nearest-neighbor leading car’s acceleration. The linear stable judging condition is obtained by linear stability analysis. Simulation results are compared with those of OVD model. It shows negative velocity under the low sensitivity can be avoided by adjusting the parameter p , and the stability of traffic flow is enhanced. Therefore, the model can not only suppress traffic jam more effectively but describe the actual traffic phenomenon more precisely. It provides theoretical fundaments for cooperative driving.