The protesters are seeking a list of demands which has been given to the council, Xinhua news agency reported.
He said a police investigation by specialist detectives would "establish the facts to provide, as best we possible, answers for those so deeply and tragically affected by the awful fire at Grenfell Tower". "I absolutely get why they're angry".
"All I'm keen to say is there is an effective, co-ordinated relief effort on the ground and I'm sorry if people haven't seen that".
Asked if she had misread the public anger, she replied: "What I have done since this incident took place is, first of all, yesterday ensure that the public services had the support they need in order to be able to do the job they were doing in the immediate aftermath".
Speaking to SkyNews on Sunday, Labour MP David Lammy said some contractors working on the Grenfell Tower were removing evidence of their work after the last week inferno that killed dozens of people in the 24-story building.
"The local community feels their grief has been made worse by the lack of information about their missing family members and friends", he wrote.
Grenfell Tower burned down on Wednesday, June 14. "How did they allow this tragedy to happen when it could have easily been avoided?"
On Friday she was met with shouts of "coward" and "shame on you" when she emerged from a Kensington church where, under a heavy police presence she had met with victims and community leaders.
Cundy added it was hard to say how many people were missing, but he said police did not expect to find any survivors in the search of the tower.
Prime Minister Theresa May came under criticism for not meeting residents when she visited the disaster site Thursday to talk with emergency service chiefs.
"That's one of the most awful things I have ever seen", Prince William said of the tower's blackened shell.
"They have been left with nothing - no bank cards, no money, no means of caring for their children or relatives".
He reiterated there is a police investigation underway and that it will look at how the fire spread.
Commander Cundy further informed that the police investigation into the fire "will take weeks, it may take longer than that". "United in our sadness, we are equally determined, without fear or favor, to support all those rebuilding lives so horribly affected by injury and loss".
Meanwhile, the Home Office said it was making arrangements for the family of one of those who died in the fire to travel from Syria to Britain for his funeral.