The museum commemorating the deeds of the great Russian military commander Alexander Vasilyevich Suvorov (1730-1800) was originally opened in the building of the General Headquarters Academy in 1900, exactly one hundred years after the death of Alexander Suvorov. In 1904, the official opening ceremony of the museum in a specially constructed building took place. The building had been designed by the architect Alexander von Hogen with the assistance of Herman Grimm. Many people had given money for construction of the museum.

The architects who designed the building used the traditional techniques of Russian architecture and made the museum look like a fortress. The facades of the side wings are decorated with two big mosaic panels. One of them, by the artist Nikolai Shabunin, shows Suvorov's departure from his estate, the village of Konchanskoye, for the 1799 Italian campaign. The other, Suvorov Crossing the Alps , is a mosaic version of the work of the battle painter A. Popov. The mosaics were made under the supervision of Mikhail Zoshchenko and Nikolai Maslennikov.

During the siege, the building was severely damaged by a bomb. The museum was again opened for visitors only in 1951, after restoration works supervised by Mikhail Plotnikov. There are more than 100 thousand exhibits in the museum, personal belongings, arms and awards of Generalissimus Suvorov, documents, books, flags, portraits and a collection of battle paintings. The museum also possesses a collection of toy soldiers, the total of about 50 thousand items. This is the biggest collection of toy soldiers in Russia . The exhibits of the museum show the activities of the famous Russian military commander at the background of military history and Russian culture.