The attackers had drove a van into people on London Bridge before stabbing people in nearby Borough Market. Khuram Shazad Butt, a 27-year-old British citizen born in Pakistan, was known to authorities, and had been in a 2016 British documentary, The Jihadis Next Door.
"A small number of the highest priority investigations involve current attack planning, and these investigations command a significant proportion of our resource", police said.
Redouane, 30, also used the name Rachid Elkhdar, claiming to be six years younger.
The assault began Saturday night when a van veered off the road and barreled into pedestrians on London Bridge. London police say they can not confirm the names of people caught up in the attack. The men continued the assault into the adjacent Borough Market area, officials said.
Britain's response to the terror threat must change, she said.
The photos of the two Daesh terrorists, Khuram Shazad Butt and Rachid Redouane were shared on the Twitter account of the Metropolitan police.
On Tuesday morning, British police publicly identified the last of the three men believed to be responsible for the deadly London Bridge attack Saturday night.
Saturday's attacks - which in addition to the seven dead left dozens in need of hospital treatment, including 18 in a critical condition - came less than a week before Britons vote in a national election.More news: Climate action continues despite United States withdrawal: COP22 President
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The London attack followed a bombing that killed 22 people at an Ariana Grande concert in Manchester, northern England, on May 22.
Kathy Christiansen, the executive director the Alpha House, said the family first reached out to them to tell them the bad news late on Saturday.
May blamed "evil" Islamist ideology and vowed to crack down on extremist content online, warning that attackers were "copying one another".
Before holding a minute's silence, Khan, the first Muslim to be elected mayor of a major Western European city, said: "I want to send a clear message to the sick and evil extremists who commit these ugly crimes".
"Over the last seven years, we as a city have lost 600 million pounds ($775 million) from our budget", he said.
Muslims, police, emergency workers and ordinary commuters were among those who joined the ceremony which took place near the attack site. "He hit about two people in front of me and then three behind".
The White House has defended President Donald Trump's controversial string of tweets following the recent terrorist attack in London.
He said many people were "very anxious that she was at the Home Office for all this time, presided over these cuts in police numbers, and now is saying that we have a problem".