Compaction is one of the most important factors affecting the future performance of asphalt pavement. Hot mixture asphalt materials exhibit significant time-dependent response under mechanical and thermal loadings, which can involve elastic, creep and plastic permanent deformation. The irreversible permanent deformation part will generate compaction. Foam-type model has been considered an efficient material model to predict compaction effect. In this paper, we extended the rate-independent crushable foam plasticity model to a viscoplastic model. A user material subroutine was developed and integrated in commercial finite element software ABAQUS, which can be used to predict compactor performance. Based on the large deformation theory and mass conservation, the change of compacted density can be predicted due to compaction. Some representative simulations are presented to show the effectiveness of the proposed material model.