The dedication of this church in honor of one of the famous icons of the Mother of God is not as ancient as it may seem. Initially, it bore a different name, in honor of a saint who became part of the coat of arms of Moscow.

The first wooden church on this site is mentioned in documents from 1625 and was dedicated to Saint George the Victorious. The name "na Vspolye" indicates its location by a field, on the outskirts of the city, where at that time the boundary of Moscow ran along the Garden Ring. In 1673, the wooden church was replaced by a stone building, constructed with the funds of merchant Semyon Potapov, with an altar dedicated to John the Warrior. It represented a traditional Moscow church of the late 17th century with five domes and a tent-like bell tower. However, after more than a hundred years, the church fell into disrepair and was dismantled for new construction. The new church builder was a local resident, Captain I.I. Savinov, who lived opposite the church. Construction took place from 1798 to 1802.

The new church building was presumably designed by architect I.V. Yegotov, a student of M.F. Kazakov, who was just starting his career at that time. Later, his designs included the burial church of the Golitsyn princes in the Donskoy Monastery, the Durasov estate in Lyublino, and the old building of the Armory Chamber in the Kremlin (the latter has not survived). The Iver Church on Bolshaya Ordynka is executed in the style of late classicism, with concise forms and without an abundance of decoration on the facades, but with a powerful dome pierced by triple windows. The small dome on the roof is unusual for Orthodox architecture: it is a round base with a long thin cross, which gives it a resemblance to European churches. The refectory opens onto Bolshaya Ordynka with an entrance marked by a four-column portico of the Ionic order with a pediment, above which rises a bell tower with an elongated spire.

With the construction of the new church, its name was also changed: the main altar was consecrated in honor of the Iver Icon, while one of the altars in the refectory became dedicated to George. The second altar remained dedicated to John. Subsequently, until the 20th century, there were no significant reconstructions in the church. In the churchyard, a two-story building of the parish almshouse, designed for 15 women, mostly local servants, has been preserved.

The church was closed for services in 1929 and 1930, its dome and upper tier of the bell tower were dismantled. The interior decoration was destroyed, but several icons were preserved, including the image of the Iver Mother of God, which was transferred to the Church of Saint Nicholas the Wonderworker in Kuznetsy. The premises were divided into three floors and were initially used as a club for the Second Automobile Repair Plant, then as a club for the Marat Confectionery Factory, and in 1989 it became a contemporary art gallery. In 1994, services resumed in the church, and soon the lost dome and bell tower were restored, while the preserved frescoes were cleaned and restored.