Two gradations of asphalt mixtures were conducted to short term and long term aging tests. And then, static creep test was implemented on the samples of mixture. According to creep compliance curves from the stress-strain relations, Burgers viscoelastic model parameters were got to analyze the influences of aging effect on the viscoelastic response of asphalt mixture. The results and analysis indicated that aging is an important reason introducing viscoelasticity changes of asphalt mixture. For aged asphalt mixtures, the stiffness increases, the flexibility declines, the instantaneous elastic and the viscous compliance decrease. But short-term aging and long-term aging have different effects. And the viscoelastic parameters of the asphalt mixture with large voids vary more significantly, so aging process is much faster.