Members of parliament from the Organization for Security and Cooperation in Europe's 56 member states are currently meeting in Kazakhstan's capital, Astana, for their annual session.
The resolution on Russia, passed by a 61-15 vote with 29 abstentions, follows Georgian claims that Russia has assumed de facto control over the province of Abkhazia, the focus of a long-running row between Moscow and Tbilisi.
Earlier this week Abkhazia closed off its border with the rest of Georgia, following a series of explosions that it blamed on Georgian security forces.
In March this year, Russian lawmakers recommended that 'missions' be opened in the two territories, sparking a furious response from Georgia, which accuses the Kremlin of trying to annex Abkhazia, along with South Ossetia, another breakaway province.
Relations between Russia and Georgia have been strained since Russia stepped up support for the breakaway Georgian republics in April. The pro-Western government of Georgian President Mikheil Saakashvili has said it is determined to bring the breakaway regions back under its control, while Moscow says Tbilisi's policies could lead to new bloodshed.
