The council had already announced it would immediately begin preparing to remove cladding from five towers on the estate discovered in checks following the fire in north Kensington which killed at least 79 people.
Camden Council leader Georgia Gould said the buildings would be "temporarily decanted" to allow "urgent fire safety works" to take place.
Tauranga city officials are trying to establish if any high-rise buildings have the same building panels as London's Grenfell Tower.
It came as four more victims of Grenfell Tower were formally identified, taking the known victims of the fire to nine.
"We now have evidence that the fire was not started deliberately", Detective Superintendent Fiona McCormack of London's Metropolitan Police said.
She says she asked the country's secretary for communities and local government to keep her updated on "ensure we are offering every support we can to residents & those working onsite".More news: NASA telescope finds 10 more planets that could have life
"This means that we need to move residents from their homes and into temporary accommodation".
Documents and materials had been seized from a "number of organisations", she added.
A Hotpoint FF175BP model was found to have been the fridge-freezer at the centre of the tragedy and followed witness reports from June 14 that one resident claimed his appliance was responsible.
The Taplow tower in the Chalcots Estate in Camden has similar plastic panels that were fitted to the outside of the 24-storey Grenfell Tower.
"The council, Mersey Fire and Rescue Service and the city's housing associations are co-ordinating a comprehensive programme of assessments and inspections and we will be meeting again in a fortnight to look at the next steps".
"I'm at a loss as to why Theresa May has not convened (emergency committee) Cobra today to get emergency arrangements led by central government to support local authorities, to give the residents the necessary reassurance and address this issue".More news: Shooter went to GOP baseball practice with list of names
Manslaughter charges could be filed over the fatal London high-rise inferno that left 79 people presumed dead, British police said Friday.
"Given the deaths of so many people we are considering manslaughter as well as criminal offences and breaches of legislation and regulations", McCormack said.
She added that cladding on three buildings has so far tested positive as combustible.
The cheap cladding was blamed for the fire spreading from one fourth floor flat and engulfing the entire building in the early hours of June 14. Along with Manchester, only Camden and Plymouth have been identified among this list.
Edward Strange said: "We've had two fires here since the cladding was put on and both fires didn't spread so I don't see what the problem is". Premier Inn said Friday it had "concerns" about the material on some of its buildings, though it is different to the type used on Grenfell.More news: Afghan soldier wounds 7 American soldiers