Prime Minister Theresa May is expected to make a statement in Downing Street shortly.

Brexit Secretary David Davis has said he is not sure postponing the general election “can be legally done.”

Speaking to the BBC, he said he thought doing so would need some “change of law” but because Parliament does not exist at the moment, he believed they were “locked into 9 June".

Mr Davis said he also believed the public would not want to postpone the vote:

"On the one hand we want to respect the people injured, and killed, and pay proper respect. But on the other hand, people are doing these things because they despise the freedoms we have, like the freedom to go out on a Saturday night - or cast a vote,” he said.

Met Police Commissioner Cressida Dick confirms the van used in the attack last night struck pedestrians on London Bridge before continuing into Borough Market. She said the three suspects then attacked pedestrians with knives before they were shot dead.

Ms Dick said officers "believe this incident is under control". She said it is a "fast-paced investigation" with "very significant resources deployed".

The priority was now to establish more details about the attackers, she added.

Frank Gardner
BBC Security Correspondent

Whitehall officials say it is too early to confirm if the three attackers were already "subjects of interest" and on MI5 and the police's radar.

The security services are currently monitoring 3,000 people, with 500 plots being investigated.

Seven members of the public have died after the terror attack, Met Police Commissioner Cressida Dick has said.

There will be additional security in Manchester ahead of today's One Manchester concert, at Old Trafford Cricket Ground, Greater Manchester Police have said.

The city, which is also hosting Manchester United footballer Michael Carrick's testimonial at Old Trafford football ground, said it had dedicated resources at both events.

The force said additional bag checks will be made at both events.

Home Secretary Amber Rudd has released a statement about the London Bridge attack:

Four French citizens were among those injured in the attack, including one seriously, the country's foreign minister Jean-Yves Le Drian has told the FranceInfo radio station.

Dominic Casciani
Home Affairs Correspondent

Plans to use bombs, such as at Manchester Arena, are rarer because plotters need to have the technical skills for such an appalling attack.

But attacking people with cars and knives is far easier and had long been encouraged by the so-called Islamic State group and other jihadists.

The aim of the three attackers last night is abundantly clear - not only did they want to kill, but they almost wanted to lose their own lives.

They would've known full well that attacking people in the street would draw armed police in their direction and the fake bomb belts they were wearing would, in their own warped minds, hasten their demise.

Dominic Casciani
Home Affairs Correspondent

Image source, PA

With three attacks in three months terrorism against soft targets is beginning to feel, to some people, like the new normal.

The brutal reality is that this kind of threat is absolutely typical of what jihadists sought to achieve in all their attacks across Europe.

Since 2013 security services in the UK have foiled 18 plots.

A large proportion of those have involved suspects who set out to commit acts of violence similar to the attack on Westminster Bridge and London Bridge.

The Green Party has suspended national campaigning until this evening.

Co-leader Caroline Lucas said her "heart goes out to all those affected and caught up in these horrific and despicable attacks, and my thoughts are with the victims and their families".

Her fellow joint leader Jonathan Bartley said he was "sickened that terrorists have again attempted to divide us in such a cruel and crude fashion."

The SNP has released a statement condemning the attack:

Brendan was having dinner with his partner in the Wright Brothers restaurant in Borough Market. He told the BBC he came face to face with one of the attackers through the locked door of the restaurant.