"The residents of Grenfell Tower, families who have lost loved ones, and the emergency services who have been working so hard to help them have been through some of the most harrowing and traumatic experiences imaginable", Prime Minister Theresa May said in a statement before the remembrance.
Rescue efforts have been slow as the building was devastated by flames and many areas were not able to be accessed safely.
Detectives investigating the massive fire at the Grenfell Tower in west London have released images and video footage from inside the building that show "the scale of the challenge" investigators face in recovering bodies.
Cundy said five people who had been reported as missing in the fire had now been found and were safe and well.
The London police on Monday upgraded to 79 the tally of those believed to have died in an apartment block inferno, although only five victims had been formally identified so far.More news: North Korea Declares Itself 'Biggest Victim' In Otto Warmbier's Death
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The update came just before a nationwide minute's silence was held at 11 a.m.in memory of the victims of what is the greatest loss of life by fire in London since World War II. "She understood that immediate action needed to be taken to speed things up, and that's what she's done", the spokeswoman said.
She also said the government had now contacted all local authorities in England asking them to identify any safety concerns in light of the tragedy.
Cundy promised an "exhaustive" criminal investigation into the fire that would also look at the refurbishment.
Hammond said that will be a focus of the inquiry and investigation.
"What is important for me is to find answers for those families who have been directly affected", he said.
"Family liaison officers are supporting families, and that includes those people we know to be dead; some of those who are critically ill and sadly those people who we have been told were in Grenfell Tower that night who we have been unable to trace".