Abstract: Based on the Stokes hypothesis, the characteristics of the Navier-Stokes equation for compressible liquids were analyzed. Through the above analysis, a special 9-bit lattice Boltzmann modelwas setup. The proposed model not only satisfies the Stokes hypothesis but also can simulate compressible liquids. In addition, the parameters in this model were determined through using the relative theory of the lattice Boltzmann method. At las,t the feasibility of the proposed model was proved through simulating the tail flow problem.