Abstract: Mechanical computation is a key technology for the design of pavement structures, therefore a mechanical model based on meshless method and numerical computation method for asphalt pavement is proposed. The meshless finite block method (FBM) uses background blocks to directly simulate the layered structure of pavement, and uses blocks with free edges to handle infinite boundary conditions, thus can solve the half space layered model of road pavement. To verify the accuracy and effectiveness of the FBM in solving pavement mechanical problems, four numerical examples were computed, and some comparative solutions were considered which used analytical method, finite element method, and boundary element method. The research results indicate that the application of FBM in pavement mechanical computation is an accurate, stable, and convergent numerical method; compared with the finite element method, FBM has higher computational efficiency; the meshless FBM computation method provides a new verification method for asphalt pavement structure design, and develops a new scientific simulation tool for pavement engineering research.