"At the Russian president's request, the emergencies ministry will send four cargo planes with tents for 5,000 people, construction materials, food and essentials supplies," a source in the ministry said.
The first two planes are scheduled to take off for Cuba on Wednesday.
On Saturday hurricane Gustav swept through Cuba with winds reaching 300 km p/h (186 mph) as it hit the Isla de la Juventud, in the south of the Cuban mainland.
The storm later swept through the province of Pinar del Rio on the country's western tip, damaging around 86,000 houses and leaving much of the region without electricity.
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Russia has become very adept in playing the diplomatic game, in which victory depends on choosing the right associate or partner. But there are a growing number of claimants to this role in the new horizontal and interdependent world. Aside Syria and Iran, being still important, the new venues for the application of practical diplomacy may well be Ukraine, the East China Sea and Afghanistan.