The company were found to be responsible for the cause of the Grenfell Tower inferno which killed at least 79 people last week.
Camden council earlier identified a number of tower blocks on the Chalcot's estate that used similar cladding and has begun work to remove the panels.
She said: "At the end of today, they told us they could not guarantee our residents' safety in those blocks and so I have made the really really hard decision to move the people living there into temporary accommodation while we do the urgent works to guarantee safety".
"The Grenfell fire changes everything - we need to do everything we can to keep residents safe".
The council is encouraging residents to stay with friends and family, but promised to provide temporary accommodations, if that weren't possible.
Taplow resident Shirley Phillips said she had only heard about the evacuation on Sky News, adding: "I've got a little bag together".
The Government has ordered an immediate examination by experts of the model of Hotpoint fridge freezer involved, Downing Street said.
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No one said it's going to be easy. "Through soft dismissals we lost our way and that was the part that hurt the most". You have to be good enough to do that for the country and you have to be good enough to bounce back, as well.
A view of Burnham residential tower on the Chalcots Estate showing the bottom section of the building after cladding was removed, in the borough of Camden, north London, Thursday, June 22, 2017. "Where do they think we're all going?"
Nine of those who died on 14 June has been formally identified so far.
Camden is one of the councils in England which has learned that combustible cladding has been placed on buildings during renovation projects, though they also had fire-resistant cladding. At least 79 people died in the June 14 fire, which engulfed the building so quickly overnight that firefighters were unable to reach numerous victims.
A United Kingdom fire service spokesman said a failed cladding test did not necessarily mean a building was unsafe and it would depend on amount of cladding and where it was fitted.
The city council met yesterday with fire chiefs and housing associations, and reported that further safety tests are being carried out at 28 low to high rise blocks to look at related issues such as sprinkler systems, fire breaks, evacuation plans and fire alarms. "We did our best I promise".
When speaking about the 79 people dead, presumed dead or missing, McCormack said: "I fear that there are more". 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.
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