It is known that the commonly used NaSch cellular automaton (CA) model and its modifications can help explain the internal causes of the macro phenomena of traffic flow.However,the randomization probability of vehicle velocity used in these models is assumed to be an exogenous constant or a conditional constant,which cannot reflect the learning and forgetting behaviour of drivers with historical experiences.This paper further modifies the NaSch model by enabling the randomization probability to be adjusted on the bases of drivers’ memory.The Markov properties of this modified model are discussed.Analytical and simulation results show that the traffic fundamental diagrams can be indeed improved when considering drivers’ intelligent behaviour.Some new features of traffic are revealed by differently combining the model parameters representing learning and forgetting behaviour. It is known that the commonly used NaSch cellular automaton (CA) model and its modifications can help illustrate the internal causes of the macro phenomena of traffic flow. However, the randomization probability of vehicle velocity used in these models is assumed to be ex exogenous constant or a conditional constant, which can not reflect the learning and forgetting behavior of drivers with historical experiences. This paper further modifies the NaSch model by enabling the randomization probability to be adjusted on the bases of drivers’ memory. The Markov properties of this modified model are discussed. Analysis and simulation results show that the traffic fundamental diagrams can be indeed improved when consider drivers’ intelligent behavior. Some new features of traffic are revealed by differently combining the model parameters representing learning and forgetting behavior.