Today, with the advancement of rock mechanics engineering, rock slope stability is given special importance. Slope stability of roadcuts and open-pit mines due to their importance are among the issues that, in addition to their static analysis, their dynamic stability should also be considered. So far, many studies have been conducted on static analysis, and several methods, relationships, and results have been presented, and many suggestions have been made to stabilize them against the factors affecting instability. But seismic stability has been less studied and researched than static stability. Most of the seismic analyses were related to the impact of earthquake characteristics, as such, the magnitude of the earthquake, the epicentral distance, and the epicentral depth. It has been commonly experienced that for a unique earthquake event, the shaking intensity at sites located in the same epicentral distance varies as a result of different local conditions. These local conditions are called site effects. Topographic conditions and the stiffness contrast of the material are the two main site effects involved in the seismic stability of slopes. The topographic characteristics of the region and the structure in question, such as height, slope angle, concave shape, and convexity, affect the stability of seismic structures. The curvature of rock slope is one of the cases that has been studied very limited and mostly in two-dimensional analysis. In this study, three-dimensional analyses are performed to evaluate the effect of the curvature topography of a specific open-pit mine slope characteristics on its static and dynamic stability using FLAC 3D. For this study, four models of open pit and mountain in circular and elliptic shapes are considered. The dynamic analyses results were in good agreement with the dynamic studies of other researchers. The results of the dynamic analyses show that the dynamic displacement of the pit models, similar to their static models, is low, however, in mountain models, static models that have small displacements, experience significant deformations. The obtained results also show that in elliptical models, as the radius of curvature increases at the same elevation, the amount of displacement and surface acceleration also increases, but the displacement in circular models at the same heights is almost equal due to the same radius of curvature. Finally, the acceleration amplification factor (AF) has been investigated in different models, the amount of which is higher in the models of circular mountains (4 to 10), elliptic mountains (2 to 5), circular pits (1 to 2) and elliptic pits (0.25 to 0.75), respectively