The Imamah of A- Mutazilah by the role of the judge Aad Aljabbar Alhamathani (415 A.H /1024 A.D) Lect. Dr. Shaymaa yunis Ismail Department of History College of Education / Mosul University Abstract: Al-Mu'tazilah towards the political development in Iraq in the fith century A.H/ eleventh century A.D. by studing the ideology of one of their prominent figuers at that time, the judge Abdul Jabbar Al-Hamadani who made a detailed explanation about Al- Mu'tazilah's thoughts and their political opinions, in addition to their conceptual ways. By that, he tried to solve the problem of the (Abbasi Khilafa) by supporting the basics that formed it and on which it depended to appear after some events and developments it