Abstract: Traffic interruption is an important factor resulting in traffic congestion. To study the influence of the anticipation behavior of the optimal flow information interruption on traffic flow stability, a new lattice hydrodynamics model is proposed considering the effect of optimal traffic interruption probability based on Nagatani's model. Firstly, the linear stability condition of the new model is obtained according to the method of linear stability analysis. Secondly, the modified Korteweg-de Vries (mKdV) equation of the model is derived from the nonlinear stability theory, and the evolution of traffic jams is described according to the kink−antikink soliton solution obtained by solving the equation. Finally, the results of the theoretical analysis are verified by numerical simulations. The results show that the new lattice hydrodynamics model considering the anticipation effect of optimal current interruption is more stable than Nagatani's model. The stability of traffic flow can be effectively improved when the anticipation effect of the optimal current information interruption is added.