Abstract: To analyze the method of determining different time spectra of asphalt mixture and the conversion relationship mutually, the discrete relaxation and retardation time spectrum and continuous relaxation and retardation time spectrum were determined by using Prony series and integral transformation expression, respectively. The relationship of discrete time spectrum converted from continuous time spectrum was established based on the discretization of continuous time spectrum, the conversion linear equations of discrete relaxation and retardation time spectrum were obtained from constitutive relation in time domain, Laplace transform domain, and frequency domain, respectively, and the validity of determination and conversion methods were verified by the test results of dynamic modulus and creep compliance master curves. Results show that four kinds of time spectrum of asphalt mixtures can be determined simultaneously by the master curve, and the relaxation and retardation time spectrum obtained from conversion are consistent with test results. The method provides effective means to comprehensive viscoelastic parameters analysis of asphalt mixtures.