The order establishing the Museum of the History of Azerbaijani Justice was signed on August 16, 2001, and the museum was inaugurated on November 22, 2001 - the professional holiday of justice employees. The museum's exposition, comprising two halls and 20 sections, includes more than 700 documents, objects, models, postage stamps, orders, and other exhibits, including 340 photographs. The museum showcases documents and exhibits reflecting various stages of the history of justice in Azerbaijan, including documents related to the establishment and activities of the Ministry of Justice, the Regulation of the Ministry adopted by the Resolution of the Council of Ministers dated November 22, 1918, and other official materials. It also presents a list of all Ministers of Justice and People's Commissars of Justice since 1918. The collection of historically and scientifically significant documents and materials for the museum continues to this day.

The museum is dedicated to the cherished memory of the National Leader Heydar Aliyev. The museum's exposition showcases photographs from Heydar Aliyev's childhood and youth, rare images taken with his family, as well as documents and photographs reflecting various stages of his political career. One of the museum’s principal sections is devoted to archival documents. This section exhibits documents from Heydar Aliyev's school and university years, decrees, and awards he received at various times. The exposition also presents facts about the important changes that took place in the socio-political and economic life of Azerbaijan during the leadership of the Great Leader, as well as photographs and documents reflecting the high reputation he gained in the international arena. Photographs depicting the Great Leader’s meetings with leaders of various countries also constitute an important part of the exposition. In total, the museum comprises one exhibition hall, 15 sections, an archival collection of documents, and 138 photographs.