The 320 people in emergency housing include former residents, as well as those who lived in Grenfell’s vicinity.
Communities Secretary Sajid Javid criticised the “sluggish” response.
Speaking in the Commons, he said residents had been “failed by a system that allowed the fire to happen”, adding: “They were failed once again by a sluggish and chaotic response in the immediate aftermath.”
Mr Javid said efforts to re-house victims had been “painfully slow” – with just 26 out of 204 Grenfell Tower and Grenfell Walk families given permanent accommodation.
He said 122 had accepted an offer of temporary or permanent accommodation, and 73 had moved in to new homes.
Shadow communities secretary Andrew Gwynne said the figures for families still waiting to be re-housed were higher if the numbers made homeless in adjoining blocks were also included – saying 311 households were still in bed and breakfast accommodation, including 227 children.
The Royal Borough of Kensington and Chelsea said it entirely accepted all the taskforce’s recommendations and would offer new homes to “all those who want to leave” emergency accommodation by December.
The council’s new leader, Elizabeth Campbell, said the local authority had “huge amounts of work to do”.