Speaking on Canal+ television Foreign Minister Alain Juppe, who was personally against the move, said the new law was "ill-timed", but called on Ankara to remain calm.
Lawmakers in the upper house (Senate) voted in favour of the draft law outlawing genocide denial on Monday after almost six hours of debate. The lower house had backed it in December, prompting Ankara to cancel all economic, political and military meetings with Paris and recall its ambassador for consultations.
"We need good relations with it and we need to get through this excessive phase," Juppe said. "We have very important economic and trade ties. I hope the reality of the situation will not be usurped by emotions."
The bill now goes to President Nicolas Sarkozy to be ratified.
Turkey's ambassador in Paris, Tahsin Burcuoglu, said the vote would lead to a "total rupture" of relations between the two countries and Ankara could seek to downgrade its diplomatic presence in the French capital.
Armenia, backed by many historians and parliaments, says about 1.5 million Christian Armenians were killed in what is now eastern Turkey during World War One in a deliberate policy of genocide ordered by the Ottoman government.
The Ottoman empire was dissolved after the end of the war, but successive Turkish governments and the vast majority of Turks feel the charge of genocide is a direct insult to their nation. Ankara argues there was heavy loss of life on both sides during fighting in the area.
