The dynamic shear rheometer（DSR） was used to carry out low-temperature shear relaxation tests on different asphalt binders， and the shear relaxation modulus were obtained. The analytical solution and Matlab solution of creep compliance were obtained， and then the stiffness modulus（S_shear） and modulus change rate（m_shear） were back calculated. The bending beam rheometer（BBR） was used to measure the low temperature stiffness modulus（S） and modulus change rate（m） of different asphalt binders， and the back calculated results of S_shear and m_shear were verified. The results show that the stiffness modulus calculated by Matlab is different from the intuitive expression of analytical solution， but the magnitude is almost the same. There is a stable proportional relationship between the S_shear of the same asphalt binders and the measured S value by BBR， and the proportional coefficient is about 4.5. The results show that there is a positive correlation between the measured results of BBR and the values of S_shear and m_shear of different asphalt binders at 60 s， and the coefficients are about 4.5 and 1.1 respectively. From the Kendall rank correlation coefficient， the back calculated results of different asphalt binders are in good agreement with the measured results， so it is feasible to inverse the low temperature stiffness of asphalt through low temperature shear relaxation test.