Andrei Nesterenko, a ministry spokesman, said the situation is being closely watched, the Novosti news agency reported.
"The situation is really worrisome, provocations from the Georgian side on the eve of the anniversary of the August events last year are continuing," he said in a posting on the ministry Web site.
Russia has recognized South Ossetia and Abkhazia as independent countries, but no other nations have followed suit. The two regions have been effectively autonomous since Georgia gained independence after the breakup of the Soviet Union.
The South Ossetian communications ministry told the news agency Tuesday the village of Otrev was shelled from Georgia, although no injuries were reported. Georgia reported Monday that a village in its territory had been shelled from South Ossetia.