The first stone two-story chambers in the shape of the letter P were built for Prince Nikolai Vasilyevich Repnin between 1731 and 1743. However, in 1812, a fire destroyed the entire Nikitskaya Street, leaving only a few walls of the 18th-century house.

Since 1759, the house belonged to Princess Nastasya Mikhailovna Dashkova, who loved to host impromptu concerts. Often, her daughter-in-law, Ekaterina Romanovna Dashkova, a close friend of Catherine II and later the director of the St. Petersburg Academy of Sciences, performed at these concerts.

In 1768, the house passed into the ownership of Senator and General-Field Marshal Fyodor Ivanovich Glebov. Here, he and his wife, Elizaveta Petrovna (née Streshneva), hosted distinguished guests, including Empress Maria Feodorovna, Elizaveta Alexeyevna, Alexandra Feodorovna, and Metropolitan Platon. Contemporary descriptions indicate that receptions took place in a large two-light hall, one wall of which was adorned with a large semicircular Italian window overlooking the courtyard. The hall's interior was complemented by pilasters with Corinthian capitals, stucco cornices, and marble friezes.

After her husband's death in 1799, Elizaveta Petrovna, the last of the Streshnevs, obtained the right for herself and her sons to bear the surname Glebovs-Streshnevs. In 1802, at her direction, the house was renovated, and several outbuildings and extensions to the main building were erected, but they stood for a short time until the fire of 1812.

In 1882, Princess Evgenia Fyodorovna Shakhovskaya, the heiress of the Glebovs-Streshnevs, began a major reconstruction of the estate. She and her husband received the estate along with the family name and coat of arms from Evgenia Fyodorovna's uncle, Fyodor Petrovich, who had no other heirs. For the reconstruction of the house, the princess invited architects Konstantin Viktorovich Tersky and Alexander Stepanovich Kaminsky. The facade of the main house facing Bolshaya Nikitskaya Street was preserved from the 18th century. The house itself was partially raised with a third floor and topped with a four-pitched wooden acoustic dome. A porch with a tent and a hanging weight was added. According to Konstantin Tersky's design, a new 20-column grand hall, later named the White Column Hall, was built on the second floor of the house. This enormous (about 400 sq. m) square hall was intended for concerts and various events organized by the Shakhovskys-Glebovs-Streshnevs, who were known as philanthropists in Moscow.

Konstantin Tersky stylistically united the main house with the service buildings of the late 18th century. On the eastern side of the house, he built a two-story annex with gates, connecting the house with a two-story stone wing. On the other side of the estate, two more annexes appeared, one two-story and one three-story. As a result, a closed inner courtyard in the neo-Russian style was formed. In 1892, after her husband's death, Evgenia Fyodorovna went abroad and began renting out the estate. At different times, the main house housed the Moscow Society of Karaites and the reference-statistical bureau of the Imperial Russian Theater Society.

After the events of October 1917, the estate was nationalized. Later, it housed the Theater of the Revolution and the Club of Medical Workers.

In 1990, the building was transferred to the Helicon Opera Theater. In the 2010s, the estate underwent reconstruction. To create a more spacious auditorium, the inner courtyard was covered, and two wings from the late 19th century were demolished. These works provoked sharp criticism from the public. For a time, the reconstruction was halted, but ultimately it was completed. On November 2, 2015, the Helicon Opera Theater resumed its operations.