Abstract: The equivalent inclusion method was used to investigate the viscoelstic problem of asphalt mixture. The creep constitutive relations of asphalt mixture were investigated by Laplace transformation. The uniaxial creep experiments of asphalt sand under different test temperatures and stresses were conducted. The viscoelastic model parameters were fitted by the creep curves of asphalt sand. Based on this, the creep curves of asphalt mixture under different stresses and test temperatures were predicted. The results show that the strains and the rates of increased strain of asphalt mixture increase with the temperature under the same loading stress, they obviously mutate near the softening point; the strains and the rates of increased strain of asphalt mixture increase with the loading stress under the same temperature.