Cllr Williams, in response to the Grenfell inquiry report, said: "Today's Grenfell inquiry report is a sobering day for Britain, and a milestone for everyone affected by this national tragedy.
"Our thoughts are with the 72 people who died at Grenfell and their friends, families and loved ones, and with the huge loss still felt across their community, across London and across Britain. We stand with those who continue to fight for justice.
"We also remember the six people who died at Lakanal House in our borough in 2009, and all the lives that were changed forever following that tragic day.
"Southwark Council is deeply aware of the responsibility we have following the Grenfell report. We are already closely considering all its implications, and will make sure action is taken on its findings and recommendations.
"We will never forget Grenfell or Lakanal House and will do everything we can to keep people safe in our homes."