The strain response and influence of elevated temperature on the viscoelastic behavior of fabric in the compaction process cannot be described and predicted by current viscoelastic models. Here, a viscoelastic model, verified by compaction experiments, is originally proposed to depict the stress and strain responses in different stages of the compaction, especially considering the effects of added binder and elevated temperature. The model effectively captures that with the rising temperature, the interaction among fibers is enhanced due to the fiber volume expansion. Accordingly, the elastic modulus is enlarged in the compression stage. In the relaxation stage, the interaction suppresses the fiber realignment, leading to the reduction of stress relaxation. In the creep stage, the elevated temperature increases the deformation stiffness, indicating the strain is declined. In the relaxation stage, the adhesive effect of added binder facilitates the stress relaxation, and then the increasing stress relaxation promotes the increment of strain in the creep stage.