In a seismic event, the rupture of an earthquake fault can generate two types of ground displacement containing permanent quasistatic offsets on the fault itself, and transient dynamic oscillations away from the fault. The first type of displacement affects the ground surface only in cases that the fault rupture extends all the way to the surface. By contrast, the latter displacement is the result of seismic waves originating and propagates over large distances in the earth and are thus of prime significance for the safety of civil engineering structures. Thus, extensive studies have been devoted to them. Among the structures, the embankment dams and their safeties are of great importance and there are still dams constructed over active faults. Since dam failure may result in catastrophic events, it is prudent to gain an understanding of the phenomenon of base fault displacement and fault rupture propagation through the embankment dam. The results of this understanding of the phenomenon of fault rupture propagation through soil may lead to designing of buildings and critical facilities in the vicinity of active faults. This research is aimed to develop an understanding of the phenomenon of reverse dip slip fault rupture propagation through soil. Then, as a practical approach, fault rupture propagation through embankment dams is studied. A finite element base software (ABAQUS) is employed as a tool for the numerical modeling of fault rupture propagation through soil using nonlinear elastic-plastic constitutive behavior. At the first step, the important issues related to the factors affecting the fault rupture propagation through a horizontal soil layer are evaluated in numerical modeling. The results showed that the increase of friction angle and elastic modulus of the materials leads to decreasing of the fault rupture path.Simultaneous study of the influence of soil type in terms of density and fault dip angle demonstrated that fault rupture path tends to bend more in dense soils comprising loose ones. At the second step, fault rupture propagation through homogenous and zoned embankments is discussed. The results are presented in from two points of view: rupture path through embankment dams and surface displacement. Three different zones within the embankment were recognized in terms of fault rupture paths, so that the influence of each factor like the fault properties and material properties can be different in these zones. Moreover, the effect of the dam height was studied in this research as one of the most important factors. It was shown that changing the height of the dam can completely lead to different rupture paths. When the embankment dam has the lower height, a localized rupture path is formed in line with the fault angle. As the height of the dam is increased, the rupture path is dispersed so that one localized rupture path is not recognized anymore. Finally the effect of presence of a horizontal alluvium under the dam base on rupture propagation and the surface displacement is evaluated. The important result was that the presence of alluvium foundation may lead to diversion of fault rupture path, decreasing of the surface displacement gradient and dispersion of rupture path in some regions with high effective stress levels. It is hoped that this research be the initial step of comprehensive surveys about the phenomenon of fault rupture propagation and also presenting executive measures to reduce the destructive effects of that. Keywords Fault rupture, Numerical modelling, Fininte element analyse, Embankment dam, ABAQUS