Intracranial aneurysm refers to a disease in which the blood vessel wall, especially at the branching points of arteries within the brain, weakens and abnormally balloons out. In severe cases, when aneurysm ruptures, it can lead to subarachnoid hemorrhage, resulting in a high mortality rate. In this study, we investigated a surgical approach to reduce the diameter of the common carotid artery (CCA) on the side where the middle cerebral artery aneurysm had occurred for safe clipping. The results showed that as the diameter of the internal carotid artery was reduced, the internal pressure within the aneurysm decreased. When the diameter was reduced to 95%, the internal pressure within the aneurysm decreased by approximately 50% based on the Mean Arterial Pressure (MAP). Additionally, as the diameter of the common carotid artery decreased, there was increase in cerebral blood flow through the circle of willis leading to high Wall Shear Stress (WSS) in the anterior cerebral artery and middle cerebral artery.