AUAC started out in 1920 as a Construction faculty within the Baku Polytechnic Institute. In 1930–34, AUAC operated as independent Construction and Architecture Institute, from 1934 as a faculty in the Azerbaijan Industrial Institute, and from 1951 as a faculty in the Azerbaijan Technical University.

In 1975, Azerbaijan Civil Engineering Institute was established with the decision of Azerbaijan SSR Council of Ministers. The institute received the status of a university in 1992. After the decision made by Azerbaijani President Heydar Aliyev on June 13, 2000, the name of the university became Azerbaijan University of Architecture and Construction.