New Democracy leader Antonis Samaras says "the Greek people today voted for Greece to remain on its European path and in the eurozone".
Greece will remain "anchored" in the euro and will respect its international engagements, Samaras said.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
He says voters chose "policies that will bring jobs, growth, justice and security".
His party beat the anti-bailout Syriza party, which wanted to cancel Greece's international bailouts.
Syriza chief Alexis Tsipras has conceded defeat in the election.
Although no party has won enough seats to form a new government on its own, the polls indicate the country's two traditional parties - New Democracy and Pasok - will have enough seats to form a coalition together.
Both have expressed a willingness to work with other European nations to stay in the 17-nation eurozone.
