As well as the confidence vote on the government, parliament will also vote on whether to support the Macedonia deal, but no date has been set for that ballot.
"We are confident that Russian Federation, which for years recognized FYROM as the Republic of Macedonia will respect the sensitivity of the Greek people to the use of the name Macedonia, and will from now on call this country by its new constitutional name, that is Northern Macedonia, and, most importantly, will refrain from making similar statements that interfere in the internal affairs of Greece", the statement said.
This has been a highly emotional issue in both Macedonian and Greece since 1991, when the Republic of Macedonia declared independence from Yugoslavia. In ancient times it was the cradle of Alexander the Great's empire, a source of intense pride for modern-day Greeks.
But Greece objected to that country's use of the name Macedonia, claiming that having that name would give the country a claim to Greece's own province of Macedonia. Although this clause refers to cultural development, Greece raised concerns that the clause could be used in the future to attempt to annex Greece's Macedonia province. The deal would pave the way for Greece to end its veto of Macedonia joining the European Union and North Atlantic Treaty Organisation.
As well as Greece and the Former Yugoslav Republic of Macedonia, the geographic region of Macedonia extends into Albania, Bulgaria and Serbia as well as small areas of Kosovo (which you can't quite see here). It has also been admitted to the World Bank and the International Monetary Fund (IMF) under the name FYROM.
During the past year, there has been tremendous global pressure to resolve the dispute.
Under article 84 of the constitution, a Greek government can only govern legitimately if it has been given a vote of confidence from parliament.
During the vote, several hundred people protested in front of the parliament, chanting "Traitors".
Macedonian lawmakers approved the agreement late Friday.
The crisis left the fate of a 2018 deal changing the name of Macedonia to North Macedonia in limbo. Polls indicate it will probably fail to obtain the minimum three percent of the popular vote needed to meet the Greek parliamentary election threshold.
The wrangle had long frustrated Macedonia's European Union and North Atlantic Treaty Organisation aspirations.
Greek Prime Minister Alexis Tsipras said Sunday he will ask for a vote of confidence in Parliament this week after the country's defence minister, who leads the coalition government's junior party, resigned over the Macedonia name deal.
"I thanked the prime minister for the cooperation and I explained to him that for this national issue we can not continue", Kammenos said, adding that his party "is pulling out of the government".
Tsipras briefly addressed the press just after noon Sunday, announcing he is invoking the established procedure for an immediate vote of confidence in his government in Greece's parliament in order to continue the government's term to the fall of 2019, and that he would be asking Greece's current Chief of Defence, Admiral Evangelos Apostolakis to step in as Defence Minister.