To address this issue about obtaining the accuracy of the gussasphalt’s (GA) viscoelastic parameters, the Burgers model was used as an example to derive the expression for the viscoelastic response of GA. The viscoelastic response strain equation was fitted “segments” using two phases of creep. The time when the GA10 specimen changes from the suspended structure to the skeleton structure is T₁. It was used to perform a segmented fit to the viscoelastic response strain equation. The first segment was fitted by dividing the experimental data into different periods by the phases of creep and the parameters were determined by physical meaning. The second segment substituted the determined parameters and performed a full segment fit to derive the remaining parameters. The results demonstrate that the optimal fitting method consists of two stages: determining E₁ using the static penetration test data from 0 to 1,000 s in the first stage, and obtaining the remaining parameters by fitting the entire dataset in the second stage. This method reduces the error between the finite element results and the measured results by 20 %. The method is applicable to all temperatures of GA. This method is helpful in characterizing the mechanical properties of GA using numerical methods in the future. Researchers can use viscoelastic parameters to design an asphalt pavement’s structure.