The compaction of asphalt concrete in the last step in controlling the quality of pavement. Tremendous information on the mixture's characteristics, segregation, and fundamental properties of asphalt concrete demonstrates itself in the compaction process. An understanding of the fundamental mechanisms of compaction will help better control the quality of asphalt concrete pavement. This paper presents investigation of the compaction mechanics using both Finite Element Method (FEM) and Discrete Element Method (DEM). The FEM simulation adopted a porous viscoplasticticity model, wich considers the compaction in the view of its air void reduction resulted from the squeezing of aggregates and mastics. The DEM simulations privide a view of considering the compaction a process in wich aggregrate particle shape and binder stiffness factors can be considered packing. By this approaches can describe the compaction phenomena consistently with field observations and empirical experience