Tunisian election officials are counting votes after Sunday's election, the first free poll of the Arab Spring.
More than 90% of registered voters turned out to cast their ballots, officials say.
Tunisians are electing a 217-seat assembly that will draft a constitution and appoint an interim government.
The US and EU have praised Tunisia on the peaceful election process, with President Barack Obama saying the vote was "an important step forward".
Former President Zine al-Abidine Ben Ali was overthrown nine months ago after mass demonstrations - he had been in power for 23 years.
Electoral commission secretary-general Boubaker Bethabet said more than 90% of the 4.1 million registered citizens had voted. No turnout figures were available for another 3.1 million unregistered people who also had the right to vote.
'A step forward'
Across the country on Sunday, queues stretching for hundreds of metres formed outside polling stations from early in the morning.
Polling stations began to close at 19:00 (18:00 GMT) but people still queuing at that time were being allowed to stay and cast their vote, AFP said.
With large numbers of ballot papers to count, election officials said results were expected on Monday or possibly later.
In a statement issued by the White House on Sunday, Mr Obama congratulated Tunisia on the election.
"Just as so many Tunisian citizens protested peacefully in streets and squares to claim their rights, today they stood in lines and cast their votes to determine their own future," he said.
The European Union also praised the elections and promised to support the new authorities.
Islamist party Ennahda is expected to win the most votes, though it is not clear if it will gain a majority.
More than 100 parties had registered to participate in the elections, along with a number of independent candidates.
Hundreds of foreign election observers and thousands of local ones monitored the poll and will be watching the vote counting.
This democratic moment carries an enormous burden of expectation, not just in Tunisia but across the Arab world, says the BBC's Allan Little, in the capital, Tunis.
Tunisians led the Arab Spring; they know the world will be watching this key stage in the transition, he says.
'Born again'
Many voters emerged from polling stations holding up blue-stained index fingers - proud to show they had cast their ballots.
The mother of Mohamed Bouazizi, the young man whose self-immolation last December triggered the Tunisian revolt, told the Reuters news agency the election was a victory for dignity and freedom.
"Now I am happy that my son's death has given the chance to get beyond fear and injustice," Manoubia Bouazizi said. "I'm an optimist, I wish success for my country."
Unlike its eastern neighbour Libya, Tunisia's transition from authoritarian rule has been largely peaceful.
Mr Ben Ali fled Tunisia on 14 January amid the first of several mass uprisings across the Arab world.
However, in the nine months since then, the economy has worsened as business and tourists stay away.
Campaigning in Tunisia was marked by concerns over splits between Islamists and secularists, party funding and voter apathy.
Ennahda, a moderate Islamist party, has sought to allay the fears of Tunisian secularists by stating its commitment to democracy and women's rights.
Its closest challenger is expected to be the secular, centrist Progressive Democratic Party (PDP).
The new assembly is expected to draft a new constitution within a year.
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