Kapoor, 60, who assumed command of the world's second largest fighting force on September 30, 2007, is a strong supporter of a "deep" modernization of India's armed forces.
"During the visit, Kapoor will meet with representatives from the Russian defense ministry and armed forces to discuss strengthening military ties," the ministry said in a statement.
He will visit a Russian armored division equipped with T-90 main battle tanks, an artillery academy in St. Petersburg and the North Caucasus military district.
India and Russia have a long history of military cooperation, which goes back almost half a century. The existing Russian-Indian military-technical cooperation program, which lasts until 2010, lists up to 200 projects worth about $18 billion in all, according to Russia's defense ministry.
In 2001 India purchased from Russia 310 T-90S tanks, which included 120 completely manufactured tanks, 90 in semi-knocked down kits, and 100 in completely-knocked down kits.
Last year some reports indicated that India may be considering buying an additional 350 T-90 tanks for one of its tank divisions.
India's former army chief visited Russia in September 2007 as part of the INDRA-2007 joint counter-terrorism exercise in Russia's northwest Pskov Region.
Russia's Ground Forces commander, Gen. Alexei Maslov, visited India in June last year.