Abstract: Being sheared, gelled crude oils will show some very complicated nonlinear viscoelastic/plastic creep rupture. Based on statistical mechanics and damage mechanics, the present paper established a damage variable in terms of temperature impact. This damage variable was introduced to the Burgers model to deduce a simplified viscoelastic damage model that could well describe viscoelastic properties of gelled crude oils. Furthermore, the viscoelastic damage model with four parameters was integrated with the modified viscous body model to establish a nonlinear viscoelastic/plastic damage model for gelled crude oils, and a fitting function was compiled to fit experimental data. The reasonableness and accuracy of this model was also verified by experimental results. Both damage models for gelled crude oils described in the present paper are characterized by high precision and clear physical conception, and they can fully describe the whole creep process of gelled crude oils. Therefore, these models can lay a theoretical foundation for determining the starting pressure of gelled oil pipelines and provide a reference for the calculation of linear or nonlinear viscoelastic problems in other practical engineering.