Layer-parallel direct shear test was carried out on the double-layered asphalt concrete specimens with geotextile interlayer. The influence significances of temperature and deformation rate on the bond failure behavior of geotextile interlayer in asphalt overlay were analyzed by using the index of interlayer shear strength based on ANOVA and multiple comparing methods. The mathematical relationship among temperature，deformation rate and interlayer shear strength was then derived from an exponential function. Moreover，the sigmoidal master curve of interlayer shear strength was built based on the time-temperature superposition principle (TTSP) and the equivalent character of time-temperature for interlayer shear strength was also validated. The results showed that the influences of temperature and deformation rate were significant. The interlayer shear strength was lower when the temperature increases or deformation rate decreases. Furthermore，exponential model was used to predict the interlayer shear strength in laboratory，and the simulation results agreed well with the experimental results. The change tendency of the interlayer shear strength was showed in a broader range of deformation rate by using the sigmoidal master curve. The interlayer shear strength of specimen with geotextile interlayer had equivalent character of time-temperature which was validated by the consistency of shift factors for creep compliance and interlayer shear strength.