The central and western regions of China are mainly mountainous areas, and in the constructed and to be constructed railways, a considerable part of the embankment needs to be constructed on the inclined strata in mountainous areas, while the current research on the dynamics of the reinforced embankment on the inclined strata is relatively small. Therefore, based on the finite element numerical software, this paper establishes a numerical model of geotechnical reinforced embankment under the condition of inclined bedrock stratum, compares and verifies the computational results with the existing experimental results, and then conducts an in-depth study and analysis of the dynamic response characteristics of the reinforced track embankment based on the numerical model of the reinforced embankment under the condition of inclined stratum, focusing on the effects of the amplitude of cyclic load and the number of layers of geogrid on the dynamic response of the reinforced embankment. The effects of cyclic load magnitude and number of geogrid layers on the dynamic response of the reinforced embankment are discussed. The results show that the dynamic response of the vertical cyclic displacement amplitude and peak velocity of the embankment shows a significant spatial non-uniform distribution, and its extreme value appears directly below the loading centre. The high value areas of lateral displacement of the embankment were distributed at the bottom of the left slope and the top of the right slope. With the change of each parameter, the lateral peak displacement at the top of the right slope of the embankment increased more significantly, and became the area with the largest lateral displacement. The limiting effect of geogrid on the amplitude of lateral displacement of the reinforced embankment is significant. With the gradual increase in the number of geogrid layers, the overall lateral displacement magnitude of the embankment decreases, and the area that generates the lateral displacement magnitude shrinks and gradually moves upward. At the position of each layer of grating, the lateral displacement magnitude of embankment and the depth of the embankment relationship curve appears obvious valley value, the depth of the valley value is consistent with the location of the grating arrangement. When setting 4 layers of grating, the lateral displacement amplitude between the grating and the lateral displacement amplitude at the top of the grating are similar, which can effectively play the role of geogrid to limit the lateral displacement of the soil body.