According to United States Geographical Survey (USGA), the second quake occurred at 7:03 (UTC) at a shallow depth of 10 kilometers.
The jolts were registered southeast of the Loyalty Islands of New Caledonia's east coast.
Residents have been asked to find shelter while the authorities are organising an immediate evacuation.
French territory of New Caledonia sits on the "Ring of Fire", an area in the basin of the Pacific Ocean, which is vulnerable to frequent earthquakes and volcanic eruptions.
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