Ballistic gelatin is widely used as physical surrogate of biological tissues to simulate blunt impact and blast loading effect on human tissue. Gelatin shows different viscoelastic behaviors at different time scales. The linear viscoelastic behavior of 10% gelatin at medium time scales was studied by rheological creep and relaxation experiments. According to the results of aging experiments of ballistic gelatin, the onset of creep experiment is selected after 24 h of aging, so that the intricate influence of gelatin structural aging during the experiment can be neglected. Therefore, a constitutive equation with constant parameters can be constructed to predict the linear viscoelastic behavior of ballistic gelatin. The linear elastic range of ballistic gelatin was determined by steady shearing and continuous loading-unloading experiments. The experimental data of a group of creep tests were analyzed to determine the four parameters of the Burgers model. Then the model with the same parameter values was used to predict the other two sets of creep experiments and stress relaxation experiments. The experimental results show that the Burgers model can characterize the linear viscoelastic behavior of ballistic gelatin at medium time scales.