• The Met Police says it knows who the attackers are and will release their identity "as soon as operationally possible"
• Prime Minister Theresa May says the threat level will remain at 'severe' after she chaired a meeting of the government's emergency committee Cobra
• Additional security measures have been put in place, including at several bridges in central London
• The first victim has been named as Canadian national Chrissy Archibald
• The so-called Islamic State group has said it was behind the attack
• Two addresses in east London - one in Newham and another in Barking - are being searched by officers
• London Bridge rail and Tube stations both reopened for entry and exit as have the bridge and surrounding roard
• A vigil will be held later near London Bridge to remember the victims

• Australian Prime Minister Malcolm Turnbull has confirmed four of the country's nationals had been caught up in the attack.
• A French national was killed and seven others wounded, including four with serious injuries according to foreign minister Jean-Yves Le Drian. One French national is still missing
• The Met Police has set up a casualty bureau on 0800 096 1233 and 020 7158 0197 for people concerned about friends or relatives

This is a summary of what we know so far about the attack.

Eyewitness Mark Kindschuh describes the moment he rushed to help a man who was accidentally shot during the police operation in London on Saturday.

"Theresa May must level with the British people and accept that on her watch armed officer numbers were cut," says Liberal Democrat leader Tim Farron.

"She asks us to trust her on security but the truth is, as home secretary she cut armed officers and cut community police numbers."

He added: "The Liberal Democrats would provide our police with £300m extra funding a year and would do what is needed to tackle the scourge of violent extremism."

BBC News Channel

Theresa May has said Saturday night's terror attack was on London, the United Kingdom, but also on the free world.

The prime minister said the threat level would remain at 'severe', which means a terror attack is highly likely, and the police have put extra security measures in place at a number of London bridges.

"Police are working hard to establish the identity of those who were tragically killed," Mrs May said, adding that there were a number of nationalities among the victims.

The PM praised the "extraordinary" heroism of police officers, adding that hospital staff and emergency services "have undoubtedly saved lives".

Image source, j.echeverria

A Madrid man is missing in London after he used his skateboard against one of the jihadists, who was stabbing a woman, Spanish media report.

Ignacio Echeverría, 39, saw the attack unfolding at London Bridge on Saturday night, and rushed to help the woman.

Friends with him at the time told his family what had happened.

Reports say Mr Echeverría is not listed among the dead. His sister has gone to London hospitals, but there is no news of him being among the injured.

In a message on Facebook his father Joaquín Echeverría urged members of the public to help find his son, posting details of Ignacio.

Apparently Mr Echeverría did not have ID on him at the time. The Spanish embassy and HSBC Bank, his employer in London, are helping to search for him.

Read full story

Image source, j.echeverria

Australian authorities are "seeking confirmation" about two people in London, the nation's PM says.

Today Programme
BBC Radio 4

Victoria Derbyshire

Londoner Dan Watson, who lives 10 minutes from where the attack happened, said: "This is my city, my home.

"It's where I work, where I live, where I go out. If we stop doing those things, the people who are doing this win.

"We have to be vigilant but we can't fear. We just need to step up and carry on."

Elizabeth Anderson agrees that Londoners have to carry on as before.

"It's our city, we can't stop," she said. "We have to go on the way we do.

"On the other hand we do have to be aware that this is happening so we have to stay vigilant.

"But on the whole you can't give in."

Victoria Derbyshire

Labour's Rushanara Ali appealed for "everyone" to co-operate with the police on combating the terror threat - but added that on security there is a need to "look at and review" the government's Prevent and counter-terrorism strategy.

"We have called on the government successively for years to review the counter-terrorism strategy - look at what has worked and what's failed and build on that."

Criticising the overall cut in police numbers which existed Ms Ali said: "The police are at breaking point and Theresa May has to take responsibility."

Susana Mendonca
BBC Radio London Political Reporter

The team at City Hall have begun planning for tonight's vigil for the London Bridge attack victims.

The leader of Westminster City Council has responded to the installation of protective barriers along Westminster Bridge.

Councillor Nickie Aiken says: “People in Westminster need this kind of protective measure – it is sensible and proportionate.

"We are working closely with the Metropolitan Police and security services and are happy to assist on measures like planning and traffic management.

"The kind of security barrier now in place on Westminster Bridge needs to be part of a permanent solution.”

James Landale
Diplomatic correspondent

With election campaigning resuming after the day-long suspension sparked by the London attack, the BBC's James Landale considers whether terror attacks affect elections.

Today Programme
BBC Radio 4

On Saturday night the Metropolitan Police issued a warning on social media: Run, Hide, Tell.

That means run away from any threat, hide if you can't get away and then, when you are safe, tell by calling the police.

Andrew Thurgood from the charity Citizen Aid says he wants to add an extra word, so it is "run, hide, tell, treat".

The first people available to treat the injured in such situations are members of the public, he tells Today.

Citizen Aid want to raise awareness, for example, that people can use scarves and other clothing as tourniquets to stop bleeding.

"It's totally acceptable to improvise of these sorts of occasions," he says.

Image source, PA

Counter terrorism specialist Will Geddes has told BBC Business Live how terrorism can impact on businesses.

"Terrorism has a number of different impacts – not only in the very visceral sense of human fatality and casualty, but it does have an impact on business."

He added an immediate impact is that employees of businesses that are in the cordon cannot get to work while that is in place.

"Many companies have been looking at crisis management and continuity plans to incorporate business interruption issues and especially terrorism."

Image source, AFP

Today Programme
BBC Radio 4

Labour's Yvette Cooper, the former chair of the Home Affairs Select Committee, has said she agrees with party leader Jeremy Corbyn that "police cuts have gone too far".

"To lose 20,000 officers wasn't the right thing for our future and we should be trying to increase them again," she said.

Some cyclists have already raised concerns about their safety, saying there isn't enough space and that drivers may complain that cyclists are in "their" lane.

BBC News Channel

Prime Minister Theresa May is being briefed on the latest developments, says BBC assistant political editor Norman Smith, including "trying to get some sort of understanding of who these people were" and whether they had support from others.

The PM is due to make a speech after the security briefing in which we could get "a much clearer sense of what she regards as the next steps", Norman adds.

This is likely to include "beefing up" the deradicalisation strategy Prevent and reviewing Terrorism Prevention and Investigation Measures, or TPims, which replaced control orders and are a form of house arrest.

There is a "widespread view at Westminster that TPims are simply not tough enough", Norman says.

However, the "most contentious area" will be Mrs May's aim of confronting the ideology behind such attacks and preventing "safe spaces" in any community for extremists.