Abstract: Traffic flow is a very important issue in urbanization. Based on the goal of greater speed with less distance between vehicles while maintaining safety, we propose an acceleration model for single-lane highway traffic. Using linear analysis and numerical simulation, we analyze the equilibrium state solution and its stability under certain perturbations. Several known traffic phases, such as the free, congested, and jam states, are simulated numerically and compared with realistic situations. The applicability of this model is demonstrated through comparison with its related macroscopic model．