The present paper deals with a computational study of blood flow through an artery in the presence of mild stenosis. Attempt has been made to analyse of velocity, pressure, momentum and various parameters of flow.Finite Element Method is used to handle the differential equations occurring during the study.The development and progression of cardiovascular diseases are major health concerns. The present study of blood circulation in artery with mild stenosis is for understanding and enhancing treatments. and mild stenoses alter normal blood flow characteristics, leading to serious health complications,abnormal blood flow patterns and high wall shear stresses can help in detecting cardiovascular diseases at an early stage.