The long-announced war games are "the most large-scale drill of 2015," the defence ministry said.
Russia has recently intensified snap checks of its military might, testing its capabilities from the Arctic to the Far East as relations with the West have plunged to a post-Cold War low over the Ukraine crisis.
Centre-2015 takes place at 20 sites across Russia's central military district, which reaches from the Volga River to the Ural mountains and Siberia in the east, while also including far northern Russia.
The defence ministry said the war games are aimed at testing the readiness of the military of the CSTO countries to "manage coalition groups of troops in containing an international armed conflict."
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The troops will simulate "blocking and destroying illegal armed formations during joint special operations," the ministry said.
The drill begins as leaders are to arrive in Tajikistan for a summit of the CSTO that starts tomorrow.
The exercises running to September 20 include 20 naval ships and up to 170 aircraft, the defence ministry said.
The main action will take place in the Urals, in the Siberian Altai region and in the southern Astrakhan region and the Caspian Sea, the commander of troops in Russia's central military district, Vladimir Zarudnitsky told journalists, quoted by Interfax news agency.
In European Russia, 12,000 troops will take part in drills at military ranges in the Urals region close to Kazakhstan involving around 90 tanks as well as 20 artillery and rocket launcher systems.
Kazakh troops will also take part and a military delegation from Nicaragua will act as monitors, Zarudnitsky added.