The Government has finally agreed to pay around £400m for cladding to be replaced in tower blocks following the Grenfell fire.
The state's housing and public works minister, Mick de Brenni, has told the ABC that while it would cost millions to complete rectifications, the government could not put a price on safety.
Setting out her proposals, Dame Judith said there was a "systemic problem" and called for a new regulator to be established.
Mrs May told MPs at Prime Minister's Questions: "Councils and housing associations must remove unsafe cladding quickly".
Seventy-one people were killed when fire spread through Grenfell Tower in June a year ago.
Responding to the report, Suzannah Nicol MBE, chief executive of Build UK, said: "It is not surprising to see that Dame Judith Hackitt is proposing radical change in how high-rise residential buildings are designed, constructed and maintained".
She also gave an update on the accommodation of the West London block's former residents.
Mr Brokenshire revealed that, of the 210 households in need of a home, only 74 were in permanent accommodation.
Mrs May's spokesman said she expects landlords "to take responsibility" in privately-owned tower blocks.
More than 12,000 buildings in Australia's Queensland state are set to be inspected for flammable cladding, as part of a major audit following a London building fire last June that killed more than 70 people, according to the latest report of a taskforce looking into the matter.
'A series of commitments made by ministers up to and including the prime minister have not been honoured'.
Labour had been preparing to use an opposition day debate in the Commons to question ministers on building safety for high-rise blocks.
Mrs May also faced criticism for not releasing funds for the Grenfell community earlier this year, with rap artist Stormzy asked on-stage at the BRIT awards: "Theresa May, where's the money for Grenfell?"