From April 20 the emergency measures will be changed, with details of what will be eased to be announced in the course of next week.
The customary Senate had been in favour of extending the restrictions for longer while some leaders in the mainly Kanak Loyalty Islands province asked for the terms of confinement to be relaxed.
The statement released today said "the virus is not circulating in New Caledonia while the rest of the world is in a pandemic situation".
Eighteen positive Covid-19 cases have been recorded to date but none in the past four days.
A case last month described as the first local transmission turned out to be a false positive on retesting.
Among those carrying the virus was at least one member of the government's crisis management unit.
The diagnosis prompted the president Thierry Santa to self-isolate in a hotel in Noumea.
Also in isolation are the president of the Loyalty Islands Province Jacques Lalie and the president of the Southern Province Sonia Backes, who said one of her close colleagues tested positive.
Lockdown conditions in force required anyone in public to carry an attestation justifying their movement.
A breach was fined with $1316 and a second offence incurred a $2632 fine.
According to the High Commission, almost 3000 people had been fined as a result of more than 120,000 police checks.
In one case, the High Commission said security forces were called to return a family to the quarantine hotel after they had absconded to their home near Noumea.
The family had been flown back to New Caledonia on a repatriation flight last week and were instructed to stay put for the mandatory two weeks.
Repatriation flights for stranded New Caledonian residents continue, with one due from French Polynesia and one from Japan due tomorrow.