The poll was carried out by the Russian Public Opinion Research Center and the Ukrainian Research&Branding Group in August and September.
The Russian company's general director said that 50% of Ukrainians had stated that they approved of a decree signed on August 26 by Russian President Dmitry Medvedev recognizing the two breakaway regions.
He also said that the decree was welcomed by 84% of Russians.
Russia recognized the two republics as independent states after a five-day conflict over South Ossetia. The conflict began when Georgian forces attacked South Ossetia on August 8 in a bid to regain control over the breakaway province.
Ukrainian President Viktor Yushchenko earlier accused Prime Minister Yulia Tymoshenko of "treason and political corruption" over her failure to back him in his support for Georgia and condemnation of Russia's actions during the conflict.
Differences on a range of issues, including the Russia-Georgia war, caused the recent collapse of the Ukrainian ruling coalition.
So far, only Nicaragua has joined Russia in recognizing Abkhazia and South Ossetia as sovereign countries.