The nonlinear displacement on an embankment occurs owing to nonlinear dynamic loadings, design unsuitable geometry for a geo‐structure, and using inhomogeneous construction materials for construct subsoil or embankment. In this study, the embankment was modeled with three types of geometries and installed on one type of subsoil. The cross‐section of all three models has equal dimensions, and it selected from that was reported in the literature, and the length of 24, 48, and 72 m were designed for the embankment‐subsoil model. The single type soil was used for modeling embankment and subsoil. The seismic load was applied to the model for assessment nonlinear displacement and vibration mechanism of the embankment‐subsoil model. To assess the developed nonlinear displacement, statistical model was applied on the results of the numerical simulation. The results of the statistical model reveal the R2 and root‐mean‐square error (RMSE) support selection suitable for the geometry of the embankment‐subsoil. On the other hand, displacement mechanism associates with the vibration mechanism of the model. With attention to geomorphology of a territory that governs embankment‐subsoil model geometry, the appropriate recognition of the impact of model geometry on differential displacement of the embankment‐subsoil leads to design an embankment with higher seismic resistance.