In addition, one of the largest mass graves for lay brothers (called скудельница, skudelnitsa) was located on the cloister's premises.

In the second half of the 14th century, a monastic quarter formed outside the walls of the Andronikov Monastery, which started producing bricks for the ongoing construction of the Moscow Kremlin (1475).

In 1985, the Andrei Rublev Central Museum of Ancient Russian Culture and Art was opened on the cloister's premises.

The second oldest monument (1504–1506) in the abbey is a spacious refectory, the third largest such structure after those in the Palace of Facets and Joseph-Volotsky Monastery.

The adjacent baroque church was commissioned by Eudoxia Lopukhina in 1694 to commemorate the birth of her son, Tsarevich Alexis, and contains a burial vault of the Lopukhin family.

Massive 17th-century walls and towers are reminiscent of the period when the monastery defended the eastern approaches against the Moscow Kremlin.