The disaster heaped pressure on Prime Minister Theresa May, already fighting for her political survival after a snap election saw her party lose its parliamentary majority. It has acted as a focal point for anger at government cuts to local authority funding and drawn accusations of criminal negligence.
"(We) should of course be careful on speculating what caused this fire, but as a precaution the government has arranged to test cladding on all relevant tower blocks," May told parliament.
"Shortly before I came to the chamber, I was informed that a number of these tests have come back as combustible."
She said local authorities and fire services had been informed and were taking steps to make affected buildings safe and to inform residents.
May has launched a public inquiry into the fire and police have announced a criminal investigation.
"This has been a wake-up call for the whole country," said Jeremy Corbyn, leader of the opposition Labour Party.
"Residents of tower blocks all over the country are concerned, worried and frightened for their own safety. What we need is a step change in our attitude towards housing in this country."
After apologising for a slow state response to the fire, May said it was right that the head of the local council had resigned. Nicholas Holgate, chief executive of Kensington and Chelsea council, said he was forced out by the government.
(Reporting by William James and James Davey; Editing by Janet Lawrence)