The Meeting Church was built in 1795 thanks to the funding of first guild merchant Ivan Nikiforovich Zvorikin, replacing the old wooden church of St. Demetrius of Thessalonica and the warm Sreten church. Residential buildings now stand on the site of the former churches.

The wooden Demetrius church existed at this location, on the western outskirts of ancient Murom, since 1574. An inventory from 1624 indicates that it was built with funds from Moscow merchants known as "Smirnov and Tretyak Mikitins Sudovshchikovs." In the late 18th century, a warm or "winter" church in honor of the Meeting of the Lord was erected at the Demetrius church, and the new brick church was named after this warm church.

The church has one dome and simple decorations characteristic of provincial architecture. The windows are adorned with figured frames featuring elements of late Baroque, while the church itself is designed in the style of Classicism. The dome of the church, though small, is decorated with diagonal stripes reminiscent of the domes of St. Basil's Cathedral in Moscow. The bell tower was simple, three-tiered, with a small dome in the Classicism style. In 1829, a chapel dedicated to the Archangel Michael was established in the Meeting Church, as in 1801, the parish of the same name from the Murom Kremlin, which has not survived, was assigned to the church. From 1888 to 1892, the refectory was rebuilt and expanded with elements of the popular "Neo-Russian" style of that time.

The church is known for its main relic, the Life-Giving Cross of the Lord, which the locals called the "Sreten Cross." The cross is now kept in a museum. A legend is associated with it about miraculous healings of the Murom residents during an epidemic in the 17th century. One of the sick had a vision in which he was instructed to touch the cross in the Demetrius church. Gathering his last strength, he crawled to the church and was healed. News of this miracle spread quickly, and many sick people made their way to the church, crawling, which gave the name to the street where the church stands, Vypolzova. Before the revolution, it was called Sretenskaya.

During the Soviet era, the church was closed and desecrated. Under the pretext of helping the starving Volga region, all valuables were removed from it. In November 1929, a physical culture club opened here. Later, lightning struck the bell tower, and it was dismantled to the first tier. The mutilated building, without a dome and bell tower, was hard to recognize as a church. The basement was constantly flooded, damaging the foundation. In the 1980s, a workshop for making monuments was located in the building, and it was returned to the believers only in 1998 in extremely poor condition. Priest Peter Kibaluk began restoration despite the lack of funds. Later, the Sreten Church housed the representation of the Murom Spaso-Preobrazhensky Monastery. In 1998, a chapel was opened in the altar, the dome was restored, and recently the bell tower as well. The church is now almost fully restored, regular services are held there, and the renovated dome and spire of the bell tower stand out brightly among the old city buildings, reminding of the times when the street was called Sreten.