The government is to cover the £200m bill of replacing Grenfell Tower-type cladding on more than 150 private tower blocks with a safer alternative.
Housing Secretary James Brokenshire has previously said the bill should be footed by the owners, not the taxpayer.
But he acknowledged the long wait for remedial work to be carried out had caused anxiety and strain for people living in those high rises.
He said owners had been trying to offload the costs onto leaseholders.
Latest figures show 166 private residential buildings are yet to start works on removing and replacing aluminium composite material (ACM) cladding – the same type used on Grenfell Tower, compared with 23 in the social sector, the housing ministry said.
Building owners will have three months to claim the funds, with one condition being that they take “reasonable steps” to recover the costs from those responsible for the use of the cladding.
Mr Brokenshire admitted he had changed his mind on demanding freeholders pay up for safety work.
“What has been striking to me over recent weeks is just the time it is taking and my concern over the leaseholders themselves – that anxiety, that stress, that strain, and seeing that we are getting on and making these buildings safe.”
He told BBC Radio 4’s Today programme: “We’ve seen a number of building owners and developers coming forward and doing the right thing.
“Indeed, even with this announcement today, many are saying they stand by the commitments they have made and will be funding and not passing on the costs to those leaseholders.”
Grenfell United, a group of survivors and the bereaved, said the news offered hope to people feeling at risk at home.
“This result is a testament to residents themselves, in social and private blocks, who refused to be ignored. The truth is we should never have had to fight for it,” the group said.
It asked the government to consider financial support for residents as they continue night watches and wait for the remediation work to begin.