The archaeological site of Volubilis is one of the world heritages recognized by UNESCO. It is located in Morocco. It contains several historical monuments. Most of these monuments are composed of masonry arches that give them a particular aesthetic. This makes their conservation essential to ensure their durability. These masonry arches are composed of dry-jointed stone blocks with an irregular geometry that makes understanding their mechanical behavior a complex task. With the aim of reinforcing the masonry structures in the Volubilis site, composed of masonry arches, a mechanical behavior study of these structures is necessary to detect their areas of weakness, modes of failure, distribution of stresses as well as their bearing capacity. In this regard, it is necessary to develop a numerical tool to analyze the mechanical behavior of these arches in the face of the stresses that affect their structures. To do this, a masonry arch is numerically simulated using the finite element software ANSYS and integrating two models implemented in this software. A “ Concrete ” model based on the William-Warnke criterion is used to simulate the failure modes by cracking in the three spatial directions. The interfaces between the stone blocks were modeled using the Cohesive Zone Model to predict the failure and damage modes at these interfaces and, more precisely, their separations in the normal and tangential directions. The physical and mechanical properties of the stone block were determined from the experimental tests, while the other properties were estimated from a literature review. The results obtained in this study show the stress distribution and the mode of failure of this arch. The failure is presented as three hinges that develop as the load is applied. These results obtained numerically in this study show good agreement with those obtained experimentally, which are presented in the literature.