The effect of various temperatures and loads on the creep effect of asphalt mixture is investigated to predict the entire creep process accurately. The modified creep model of asphalt mixture is then obtained through the nonlinear correction of the Burgers model and the generalized elastic modulus correction on its basis. Creep testing, parameter fitting, and an analysis of the asphalt mixture’s creep reaction were all used to confirm the model’s validity. The findings indicate that the new creep model can better characterize the third stage of asphalt mixture creep following the generalized elastic modulus correction based on the nonlinear model and that the parameter fitting results in a satisfactory correlation. At the same time, there are significant differences in the creep rate of the asphalt mixture at various temperatures and loadings, with the creep rate increase at 70 °C being 34% larger than that at 60 °C. Compared to 0.6 MPa, the load at 0.8 MPa showed a rapid rise in creep rate of 37.3%, indicating a sizable abrupt change.