In order to investigate the fatigue failure of compacted asphalt mixtures, the static creep mechanical behavior of aggregate-asphalt interfaces was conducted which especially constructed the creep equation between the deformation-time of aggregate-asphalt interfaces. The hard sandstone cylinder specimens of 38 mm and 21 mm in diameter were used to measure the static creep and strength of aggregate-asphalt, respectively. Through the gravity of asphalt itself, the excess asphalt flowed away from the end face of samples. A thin layer film was adhered to the end surface of hard sandstone cylinder samples. Shear strength and direct tensile strength between the aggregate-asphalt interfaces were measured with the electronic universal testing machine (EUTM) at the loading velocity of 50 mm/min and at 15∘C and 25∘C, respectively. The shear creep between the aggregate-asphalt interfaces was firstly done with EUTM successfully. The direct tensile creep was done with the universal testing machine (UTM). The shear creep deformation-time of the aggregate-asphalt interfaces was the power function relation. The direct tensile creep deformation-time of the aggregate-asphalt interfaces was also the power function relation. These power function relations of the aggregate-asphalt interfaces contribute to the following research about the fatigue failure of compacted asphalt mixtures.