Butt, 27, was a British citizen who was born in Pakistan, while Redouane, 31 claimed to be Moroccan and Libyan. Police said he also used the name of Rachid Elkhdar and a different date of birth that gave his age as 25.
He said there was still "great sorrow and anger" across the city about the "barbaric " and "cowardly" attack.
An "inspirational" 32-year-old man from Hackney has been named as the second victim of the London Bridge terror attack.
'Londoners can rightly be proud of their emergency services today, ' said the Met Police Federation chairman.
Another British Transport Police officer is in stable condition after facing the attackers armed only with his baton.
Prime Minister Theresa May has said Britain is faced with a new trend where "terrorism breeds terrorism" and inspired not just by "carefully-constructed plots after years of planning and training - and not even as lone attackers radicalised online - but by copying one another and often using the crudest of means of attack".
The latest killings came in the third terror attack to hit the United Kingdom in three months. The U.S. Embassy would not comment.
During a police raid on Sunday at an apartment owned by one of attackers, 12 people were arrested in connection with the murders. May said Monday that 11 remained in custody and one was released without charge. I've said that. I think Sadiq Khan is doing a good job.
In an interview with The Independent last week, Mr Corbyn said he was "very concerned" about the speed in which Mr Trump received the honour by Ms May - just seven days after he took office.
The attack left seven people dead, as well as the attackers, and 48 injured. You will see an increased police presence today, including armed officers and uniformed officers.
The AP also accused Trump of mischaracterizing statements made by London mayor Sadiq Khan in the immediate aftermath of the attack.
"The police are working hard to establish the identity of all those who were tragically killed or injured in the event on Saturday night", May added.
Dick and Mayor Sadiq Khan visited London Bridge on Monday as commuters returned to the scene of the attacks after some security cordons were removed.
The attackers rammed pedestrians with a van before launching frenzied stabbings in the market. The three suspects were shot dead by police officers within minutes after they drove a van into pedestrians on the bridge and then stormed pubs and restaurants, stabbing anyone in their path.
They said Ms Archibald, from British Columbia, had worked in a shelter for the homeless until she moved to Europe to be with her fiancé, Tyler Ferguson.
"We grieve the loss of our dear friend and colleague, and will remember her as a talented social worker, workmate and exceptional human being". "She had room in her heart for everyone and believed strongly that every person was to be valued and respected", her family said in a statement.
"We cannot and must not pretend that things can continue as they are", she said, adding there was "far too much tolerance of extremism in our country".
A focus on security would normally be expected to help the prospects of May's Conservative Party in the coming general election.