The gallery stood among the pioneers in showcasing the works of Russian avant-garde artists like Alexander Rodchenko, Boris Mikhailov, Vladimir Nemukhin, Eduard Steinberg, Ilya Kabakov and Evgeny Chubarov.

In 1998, the Tatintsian Gallery relocated to Manhattan, New York, expanding its roster to include notable artists such as Frank Stella, George Sugarman, Judy Pfaff, Leon Tarasewicz, Esko Mannikko and others.

The Moscow gallery, first opened in 2005 on Ilyinka Street next to Red Square, played a pioneering role in introducing Russian audiences to exhibitions by Western stars such as Peter Doig, Georg Baselitz, Christopher Wool, Tony Oursler, Cecily Brown, and Daniel Richter.

It was the first gallery in Moscow to exhibit works by George Condo, Peter Halley, Damien Hirst, Francis Bacon, Tony Matelli, Carroll Dunham, John Currin, Wim Delvoye, and other notable artists.

In 2022, the gallery expanded its international presence by relocating to Dubai, UAE, featuring the first solo exhibition in the region of the renowned YBA artist Mat Collishaw.