The present paper deals with the study of flow dynamics of blood with stenosis artery in the presence of transverse magnetic field a computational modelling of blood circulation is carried out and the mathematical equations occurring during the modeling are solved by using Finite Element Method. Various factors like velocity, pressure, wall shear stress, and energy are taken in account. The partial differential equations accounting the complexities are removed by non-dimensional sing them. Boundary conditions are used to simplify the mathematical process. On axis, zero radial gradient condition is applied. The arterial wall is subjected to zero temperature and no-slip conditions.