The Turkish and Greek Cypriot leaders say they want to end the island's division "as soon as possible" after resuming reunification talks.
Greek Cypriot leader Nicos Anastasiades met his Turkish Cypriot counterpart Dervis Erogluy at a UN compound in the capital Nicosia.
The previous round of negotiations had stalled in mid-2012.
Cyprus split after a coup in 1974 that was aimed at uniting the island with Greece, sparking a Turkish invasion.
Speaking after the one-hour meeting, the two leaders said the status quo in Cyprus was "unacceptable".
In a joint statement, they said that a settlement would have a "positive impact" on the entire region.
Resident UN envoy on the island Lisa Buttenheim said: "The leaders expressed their determination to resume structured negotiations in a results-oriented manner".
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