Given that the mission of Research Department of all universities and research institutions is to write and edit the research activities and develop or produce new sciences and change it into new technology, the evaluation of their research performance is very important. In this paper, the performance of the research department in selected branches of Islamic Azad University is measured and compared in 3 periods during 2010-2013 by using without input model of DEA. So, 5 important research indicators are determined and considered based on DEMATEL technique. The Performance of the branches are calculated by a without input model of DEA and GAMS software and then ranked by Anderson-Peterson ranking method. During the first period, 4 branches including Takestan, Karaj, Firouzkouh and Varamin are efficient. During the second period, 5 branches Parand, Takestan, Roudehen, Karaj and Firouzkouh are efficient and at last, 4 branches are highly efficient during third period, naming Parand, Takestan, Qazvin and Firouzkouh.