One of the most common heart diseases is coronary artery stenosis, which can cause pain and heart attack. Stenting is a method of treating these coronary arteries. A stent is a wire and mesh tube that holds the vein open at the site of plaque collection. Using finite element analysis to study the mechanical properties of this device is an efficient way to modify stent design and performance. Stenting accounts for 70% of cardiac surgeries, and about 30% of these cases require the use of overlapping stents; Therefore, stress analysis in these stents is necessary to predict subsequent fractures and their effects on patient health and fatigue analysis to estimate the life of this efficient and useful device in the field of medical science that the need for mechanical science in this field is felt. In the present study, two types of stents were simulated in three models using Abaqus 6.14 software. The first model is the simulation of single stent implantation in a artery; In the second model, the same stent is embedded overlap in the artery, and the third model simulates another type of stent, which introduces this method for the first and second models by stent fatigue analysis under pulsation blood pressure using the Goodman method and validating the results. In all models, four sections of stents, balloons, arteries and plaques are modeled. The distribution of stress on the stents, the created stress on the vessel due to stenting and the increase in the diameter of the stent are the most important results studied. The results are generally in good agreement with previous research. Keywords: overlapping stents, stress analysis, fatigue analysis, finite element simulation