It is built as a rectangular hall church with an apse of the sanctuary separated from the nave by a contemporaneous five-arched iconostasis, which has lost its original appearance and has then been somewhat haphazardly reassembled.

[2] The latter inscription, undated but probably made at the end of the 14th century in the medieval Georgian asomtavruli script, is placed on an architrave stone on the east door of the bell-tower, mentioning members of the Tavkhelisdze family: Siaosh, Rati, Asat, and Machabel.

The third text, dated to 1682 and is inscribed in the north crypt of the church in mkhedruli, attributes the structure to the members of the Taktakidze family: the bishop Phillip of Ruisi, Ardashel, and Elizbar.

[3] A marble tombstone in front of the iconostasis carries a mkhedruli text, arranged in twelve lines, which indicates that buried here is Rostom (died 1689), a son of the prince royal Vakhtang of Kartli.

[2] Prince Vakhushti, a Georgian scholar writing about 1745, reports that west of the Achabeti fortress, "on a hill, there is the Tiri monastery, without a dome, but beautifully built, in a pleasant place.

In July 2015, the monastery was subjected to a "repair" process in which part of the frescoes were whitewashed or damaged; the floor in the bell-tower was covered with concrete, and a new wall was built to encircle the church.

[8] In 2016, the Permanent Mission of Georgia to the United Nations Office reported to the UN Special Rapporteur in the Field of cultural rights that the Tiri Monastery required an immediate intervention in order to prevent further damage from humidity and water infiltration.