Hemodynamics associated with the arteries of the circle of Willis (CoW) is analyzed to identify possible cerebral aneurysm initiation locations using computational methods. The wall shear stress distribution in the entire CoW region shows that anterior communicating artery (ACoA) junction has the highest value and risk of aneurysm initiation. The flow patterns created due to the geometrical features of the CoW seem to be the significant factor in the distribution of WSS. The wall weakening effects are more pronounced for the posterior communicating artery. Changes in Von Mises stress (VMS) are also noticed due to wall weakening effects. Highly localized VMS is noticed at ACoA and could possess a higher risk for aneurysm initiation and rupture. The present work demonstrates the critical locations at the CoW region regarding aneurysm initiation.