Abstract: In this paper, the grey model and neural network model are combined on the basis of the traditional car-following model based on the minimum safe distance, the local vehicle using the collected vehicle speed information to predict the front vehicle speed and perceived front car will brake earlier.so, the local car can slow down before the front car, so driver reaction time has little effect on braking distance. MATLAB/Simulink and Carsim will be used to build model to verify the effectiveness of the model in this paper.