Blood vessels of humans may constrict due to different reasons reducing the internal diameter available for blood flow. In broader spectrum this phenomena is known as vasoconstriction. The constricted blood vessels offer greater resistance to the normal blood flow which may severely affect the connected human organs. Circumstances at point of constricting may worsen hemodynamically. One of most commonly occurring disease is Raynaud’s syndrome, where the blood vessels in hands constrict either reducing or completely blocking normal blood flow. In the current study, ANSYS simulation are used to estimate the pressure and velocity variations in constricted vessels. The results showed that velocity and pressure of blood may reduce up to 50% and 40%, respectively after passing through the constricted area. The results of this study will be helpful for the comprehension of sophisticated hemodynamics at constricted vessel portion and hence better remedial measures may be adopted.