Vashadze did not specify what the response would be, but said Russia's "irresponsible move" would harm Russia first, Georgian news agency Caucasus Press reported.
Vashadze said that Moscow believed "things were over" after it recognized South Ossetia and Abkhazia as independent states, "whereas in fact it's only the beginning of its problems."
Russia moved on Tuesday to recognize the independence of South Ossetia and Abkhazia, which broke from central Georgian rule during wars in the early 1990s following the collapse of the Soviet Union.
Russian President Dmitry Medvedev said recognition "is the solechance of saving people's lives" after the recent clashes in SouthOssetia.
Western nations bristled at the Russian decision, and Saakashvili quickly took a swipe at Russia's move in a statement, saying it is "in direct violation of international law."
In a televised address to the nation Tuesday, Saakashvili urgedGeorgians to stay calm and vowed a peaceful struggle to defend hiscountry.
Earlier this month, Georgia sent in troops to reclaim South Ossetia, triggering a military offensive by Russia.
Russia declared a halt to its military offensive on Aug. 12 after days of conflict in the region. Later, Moscow said it had fulfilled the promise made in a French-brokered peace plan to withdraw its troops from Georgia as of last Friday.
On Wednesday, Vashadze summoned Russian ambassador to Georgia Vyacheslav Kovalenko to present a statement of his ministry, and "categorically demanded Russia stop immediately the military aggression against Georgia and ethnic cleansing in the region of Tskhinvali and the adjacent territories," Caucasus Press said.
Shota Malashkhia, chairman of the interim parliamentary committee for the restoration of Georgia's territorial integrity, said the parliament is considering severing diplomatic relations with Russia.
Refugees from Abkhazia rallied in front of the parliament building in Tbilisi to protest Russian recognition of the independence of the region and then marched on to the Russian embassy to continue their protest.
