It is the first time citizens have directly voted for their president in 20 years in an election where many are angry about high-level corruption.
Polls opened Sunday at 7 am and closed at 9 pm, with first results expected two hours later.
The favorite is Igor Dodon, a pro-Moscow head of the Socialists' Party who has tapped into widespread dissatisfaction with the pro-European government.
Ex-World Bank economist Maia Sandu is the preferred option for those who want Moldova to join the European mainstream.
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