Summary
Police say the death toll from Saturday's attacks has risen to eight
Australian au pair Sara Zelenak is named as the latest victim of the attacks
Police searching for French national Xavier Thomas have recovered a body from the Thames
A 30-year-old man was arrested for terrorism offences in the early hours of Wednesday
Police casualty bureau can be contacted on 0800 096 1233 and 020 7158 0197
Live Reporting
Watch: Police steer people on bridge towards safetypublished at 01:22 British Summer Time 4 June 2017
WATCH: 'We saw attack' - Borough Market restaurant workerspublished at 01:19 British Summer Time 4 June 2017
01:19 BST 4 June 2017Sturgeon: 'Dreadful news from London'published at 01:17 British Summer Time 4 June 2017
01:17 BST 4 June 2017Scotland's first minister tweets:
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End of twitter postOnly call if it's a genuine emergency - ambulance servicepublished at 01:16 British Summer Time 4 June 2017
01:16 BST 4 June 2017London Ambulance tweets...
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End of twitter post'Situation still ongoing' - policepublished at 01:14 British Summer Time 4 June 2017
01:14 BST 4 June 2017Police say the situation is still ongoing, the BBC's Priya Patel in the London Bridge area reports.
Our reporter says she's seen police officers with blood on their sleeves and uniforms.
Eyewitness: 'About 50 police were pointing guns at us'published at 01:13 British Summer Time 4 June 2017
01:13 BST 4 June 2017Kumi de Costa was caught up with her two friends at the incident in Borough Market. She told the BBC what she saw:
"The cab driver turned into the market and we got stuck right in the middle of the shooting we were in a one-way street and couldn’t turn around.
"There were loads of shots being fired. Two people were on the floor behind the church with two or three people leaning over them.
"About 50 police were pointing guns at us - the cab driver had the laser pointed right at them, our hands were up, we were trying to get out so they shooed us away.
"A man was coming out of the restaurant, he had a napkin on his neck with blood pouring out, there was another man lying on the floor. I don’t know if he was in the recovery position or dead.
"We weaved through little side streets where the police were telling us to go to Blackfriars Bridge and we could see people looking over the side; people had maybe jumped over the bridge.
"A couple of times we had to lie down on the floor of the cab because of the shooting around us."
'Reminds us how much we owe our emergency services'published at 01:08 British Summer Time 4 June 2017
01:08 BST 4 June 2017Lib Dem leader tweets...
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End of twitter post'Use restraint in circulating pictures and videos of incidents' - policepublished at 01:05 British Summer Time 4 June 2017
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End of twitter postEyewitness: 'Her throat had been cut'published at 01:02 British Summer Time 4 June 2017
01:02 BST 4 June 2017Alex Shellum was in the Mudlark pub with his girlfriend and two friends, underneath London Bridge, at the time of the incident.
"At around 22:00 BST an injured woman came into the pub seeking assistance.
"She was bleeding heavily from the neck - it appeared that her throat had been cut. People sought to stem the bleeding and the pub was closed.
"Outside the pub, emergency services were performing CPR on a further individual. From there, we were instructed to move along by armed police.
They sought refuge with some others at Bill's restaurant in the market.
"Police instructed us to wait in the kitchen whilst they swept the surrounding area. We were then ordered to leave the restaurant by armed police - we were then escorted at running speed away from the area."
Vauxhall incident not connected to London Bridge and Borough Marketpublished at 00:57 British Summer Time 4 June 2017
00:57 BST 4 June 2017The Metropolitan Police adds that Vauxhall's incident was "a stabbing", not connecting to the London Bridge and Borough Market incidents.
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End of twitter postLondon Bridge and Borough Market confirmed as terrorist incidentspublished at 00:54 British Summer Time 4 June 2017
00:54 BST 4 June 2017BreakingThis Twitter post cannot be displayed in your browser. Please enable Javascript or try a different browser.View original content on TwitterThe BBC is not responsible for the content of external sites.Skip twitter postThe BBC is not responsible for the content of external sites.Allow Twitter content?
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End of twitter postDonald Trump tweets message of support for London and the UKpublished at 00:49 British Summer Time 4 June 2017
00:49 BST 4 June 2017US President Donald Trump has tweeted a message of support for London and the UK
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End of twitter postTheresa May statement on attackspublished at 00:46 British Summer Time 4 June 2017
00:46 BST 4 June 2017Prime Minister Theresa May said: "Following updates from police and security officials, I can confirm that the terrible incident in London is being treated as a potential act of terrorism.
"This is a fast moving investigation. I want to express my huge gratitude to the police and emergency services who are on the scene. Our thoughts are with those who are caught up in these dreadful events."
Islamic State supporters 'cheer London attacks'published at 00:44 British Summer Time 4 June 2017
00:44 BST 4 June 2017No-one has so far claimed responsibility for the suspected terror attacks in central London.
However supporters of so-called Islamic State have been cheering the incidents on social media, BBC Monitoring reports.
'Walking wounded' being taken to Liverpool Street stationpublished at 00:40 British Summer Time 4 June 2017
00:40 BST 4 June 2017The BBC understands those who are walking wounded are being taken by bus to Liverpool Street station. They are being treated for their injuries at a nearby hotel
Sandra Miya was walking past the station when she saw people "covered in blood with heads bandaged".
'Potential act of terrorism' - Theresa Maypublished at 00:38 British Summer Time 4 June 2017
00:38 BST 4 June 2017BreakingPrime Minister Theresa May has said the "terrible incident" in London is being treated as a "potential act of terrorism".
She will chair the government's emergency committee COBRA on Sunday morning.
London incidents - mappublished at 00:34 British Summer Time 4 June 2017
00:34 BST 4 June 2017Here's a map of the reported incidents in London.
Vauxhall station has since been reopened.
'Brutal and shocking incidents'published at 00:34 British Summer Time 4 June 2017
00:34 BST 4 June 2017Labour leader Jeremy Corbyn has tweeted his thanks to the emergency services and called the events "brutal and shocking".
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End of twitter post'No indication' MI6 has been targetedpublished at 00:33 British Summer Time 4 June 2017
00:33 BST 4 June 2017Whitehall officials have said there is no indication the headquarters of MI6 at Vauxhall Cross has been targeted, BBC security correspondent Frank Gardner says.
Counter-terrorism officers at London Bridgepublished at 00:33 British Summer Time 4 June 2017
00:33 BST 4 June 2017Officers from the Counter-Terrorism Special Forces are at the scene of the 'vehicle and knife' incident at London Bridge.