Under the document, valid until December 1, 2011, the government is to develop ways to restrict military cooperation with countries supplying Russian or Soviet-made arms to Georgia.
Countries or individuals found to be in breach of these regulations will face economic and financial sanctions.
The Kremlin said the decree had been signed to protect Russia's national interests.
Relations between Moscow and Tbilisi have been strained since Georgia attacked South Ossetia on August 8 in an attempt to regain control over the breakaway republic, which split from Georgia in the early 1990s. In response, Russia launched a military operation to eject Georgian troops from the region.
Russia recognized the independence of South Ossetia and Abkhazia, another separatist republic, on August 26.
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Any response would likely boomerang on Russia – the partnership between Rosneft and ExxonMobil is a case in point. The United States has hit Russia with a third round of sanctions. This time the Americans went with a higher caliber weapon, targeting Russia’s biggest energy companies (Rosneft and Novatek) and banks (VEB and Gazprombank).