Kensington and Chelsea Council officers and Councillors stepped in to assist residents following a fire at Markland House on Friday morning.
One family has been rehoused in a nearby hotel and residents are returning to homes not impacted by water or smoke damage.
As of 3.30pm, 15 floors had been allowed to return.
A respite centre opened in Frinstead House, Notting Hill, London, W10 6TZ, and will continue to operate for people who need it, water is being provided and help with items for young children.
The cause of the fire is subject to investigation.
Cllr Kim Taylor-Smith, Deputy Leader of Kensington and Chelsea Council, said: “Obviously, we will need to investigate the causes of the fire, but at the moment I am just thankful that everyone is safe.
“This community saw the Grenfell tragedy happen two years ago and I am fully aware of the impact that had on individuals. Our officers were on site quickly, with NHS colleagues, and a respite centre opened for anyone who needs support. We provided water and items for children such as milk and nappies.
“If the resulting investigation finds anything wrong with the safety of the building, we will take immediate action.”
If the incident has caused you distress and you want to talk to someone please call the NHS Outreach Service on 020 8962 4393 for advice and support.
If you need more information or advice on housing, contact our Housing Management team.