Defense Minister Irakli Okruashvili said on September 3 that the aircraft was damaged but nobody was hurt, and they landed safely in Georgian-controlled territory.
Earlier, South Ossetian officials said their forces shot down a Georgian government helicopter that had invaded the breakaway region's airspace.
On Rustavi television, Georgian Prime Minister Zurab Nogaideli accused Russian military commanders of involvement in an attack.
Speaking to reporters in Gori, a town near South Ossetia, Okruashvili said the Mi-8 helicopter came under fire during a flight to a base in western Georgia.
He said the craft was hit but that the pilots were able to land safely with no casualties.
Earlier, South Ossetian government spokeswoman Irina Gagloyeva said a Georgian Interior Ministry helicopter was downed after its crew failed to respond to requests that they land or change their route.
(Reuters, AP, AFP)