Seepage-stress coupling behavior is a hot issue in the field of rock mass seepage in China, which is particularly common in the stratified slope engineering where the groundwater seepage is involved. Considering the anisotropic properties and seepage-stress coupling behaviors of the stratified rock slope, a seepage-stress coupling model of anisotropic rock mass is established on the basis of the equivalent continuum model and Louis empirical equation. Then the model is implemented into COMSOL software. Numerical results show that the model is competent in reflecting the anisotropic deformation properties of stratified rock mass and the heterogeneous and anisotropic behaviours of groundwater seepage. Moreover, this model is applied for the seepage analysis of the cross-section E800 of the south of Fushun west open-pit mine. To compare and analyze the influence of seepage-stress coupling in stratified rock mass, two different models are employed. The results indicate that the water table calculated by the proposed model is in good agreement with the in-situ measurement, and the model has a good prospect in such stratified rock slope engineering.