Completed secondary education at Junior Sporting School 9 in the city of Dnepropetrovsk, Ukraine, USSR. Got ranked Candidate for Master of Sport of the USSR (chess). In 1993, graduated from the Academy of Physical Education and Sports of the Republic of Belarus (the Belorussian State University of Physical Culture) with the diploma of Sport Instructor and Chess Coach. At the Academy met and made friends with such chess players as Ilya Smirin and Boris Gelfand.

In 1996, together with his partners Konstantin Nikolaev and Nikita Mishin founded Severstaltrans, of which was Member of the Board of Directors and Chief Executive Officer since foundation.

In memory of his first chess coach, Alexander Valerianovich Sinitsyn, Filatov set up the Sinitsyn Memorial international children chess festival, which has been held in Dnepropetrovsk since 2001.

In 2010, Finance magazine estimated Andrey Filatov’s wealth at $0.92 billion.

In 2011, the Russian version of Forbes magazine ranked Filatov 93rd among Russia’s wealthiest businesspersons, with an estimated wealth of $1.1 billion.

In 2012 Andrey Filatov established the Filatov Family Art Fund, to collect Russian and Soviet paintings and sculptures found abroad.

Filatov is collecting pieces of art – painting, graphic works, and sculpture as well. In his collection are works of such Painters as Igor Grabar, Pyotr Konchalovsky, Konstantin Korovin, Gely Korzhev, Viktor Popkov, Arkady Plastov, Nicolai Fechin, and Aleksandr Laktionov. The collection started with Portrait of the engraver J.Watts by Nikolai Fechin. This portrait in 1924 won the Thomas R. Procter prize of the National Academy of Design in the USA. Andrey Filatov’s favorite Painter is Viktor Popkov.

29 July 2014 Art Russe has become a Patron of the Serpentine Galleries, one of London’s leading art galleries. The agreement demonstrates Art Russe’s commitment to supporting international galleries, museums and exhibitions, as it plans to launch its own museum in London.

Art Russe has organized the first major exhibition of Russian and Soviet art of the twentieth century in the Middle East, which opened on 6 October 2015 in the capital of the United Arab Emirates, Abu Dhabi. The exhibition, entitled "Art Russe Collection of 20th Century Russian and Soviet art Art of the XX century Art Russe: War and Peace" and including more than 120 works, takes place under the patronage of the Minister of Culture, Youth and Social Development of the United Arab Emirates Sheikh Nahyan bin Mubarak al Nahyan. The exhibition ran until February 2016.

In November 2016, Art Russe expanded its collection through the acquisition of seven paintings by some of the most iconic Russian artists. These seven paintings previously belonged to a European noble family. This followed last year's acquisition of eleven canvases from a European royal family. In December 2015 Art Russe signed the agreement to acquire paintings representing several influential movements in Russian art, such as Peredvizhniki. These works included The Religious Procession in Kursk Province, and Sadko in the Underwater Kingdom by Ilya Repin, The Mother of God by Kuzma Petrov-Vodkin, Whirlwind by Filipp Malyavin, Alionushka by Viktor Vasnetsov, The Swan Princess by Mikhail Vrubel, watercolour study The Rape of Europa by Valentin Serov, and Ballet Dressing-room Snowflakes by Zinaida Serebriakova.

In November 2017, Andrey Filatov embarked on a PSA project to develop « 25 Years of Independence », one of the largest gas deposits in Uzbekistan, with estimated reserves of 100 bcm. Filatov's stake in the project is 37.5 %.

On February 3, 2018 Andrey Filatov was re-elected RCF President by the XIII Congress of the Russian Chess Federation.

Andrey Filatov’s main asset is Tuloma investment company. Не is also a co-owner of the Global Ports company listed at the London Stock Exchange, the railway companies Globaltrans and Transoil Ltd (7%).