Flexible pavement-asphalt mixture plays an important role in structures of the primary road and bridge at present. However, the mixture is a type of viscoelstic material and is sensitive to environment temperature, especially a high temperature. The permanent deformation due to high temperature and the material’s viscoelastic shorten the service life of the road and even lead to traffic accident. Therefore it is necessary to analyze the pavement’s mechanical performance. In the study, the viscoelastic constitutive equation of the mixture is transformed to Prony Series. The objective of this study is to characterize the stability of asphalt pavement at high temperatures with a three-dimensional finite element and accurately predict the pavement’s strain and stress in vehicle load.