Residents of New Caledonia, which lies north of New Zealand, received text messages directing them to go to refuges immediately, with waves of up to three metres possible, according to the warning centre.
"Hazardous tsunami waves are forecast for some coasts," the Pacific Tsunami Warning Center said, after earlier warning that the danger zone included "coasts located within 1000 kilometres of the earthquake epicentre."
The epicentre was some 300 kilometres east of Noumea.
New Zealand authorities issued a similar tsunami warning after the quake, but that was quickly rescinded.
There were no immediate reports of damage from the initial earthquake and according to the US Geological Survey modelling, damage from the quake is expected to be minimal in terms of loss of life.
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