President Donald Trump and First Lady Melania Trump depart the UK on board Air Force One - here's a look back at the two-day state visit
In a joint press conference earlier, Trump suggested Keir Starmer could involve the military in tackling the UK's small boat crisis
Trump also said Vladimir Putin "let me down", as Starmer said both countries are working to put pressure on the Russian president to agree to a Ukraine peace deal
When asked about Starmer's plan to recognise a Palestinian state, Trump said he has "a disagreement with the prime minister on that score"
Some of the thorniest issues did not really crop up. Jeffrey Epstein and Lord Mandelson only perfunctorily, and Nigel Farage not at all, writes chief political correspondent Henry Zeffman
It comes after the leaders signed a new "technology prosperity deal" with firms including Microsoft and Google pledging to spend billions in the UK
Trump describes his country's economy as "potentially the strongest it's ever been" and says that all companies want to be there.
He concludes his remarks by saying the US's "cherished friendship" with the UK is getting stronger, and thanks Starmer for working hard on their new deal, saying it's an "honour" to be part of it.
Image source, PA MediaPresident Trump says that one year ago the US was in "serious trouble".
He says the King of Saudi Arabia told him: "Your country was dead one year ago and now you have the hottest country of anywhere in the world."
Trump says that more than $17 trillion has been invested in the US this year.
"We've taken in trillions of dollars from tariffs and they've been so incredible for our country," he says.
The president says he's keeping US companies "happy, solid and sane".
"We've never seen investments like this, without the tariffs we would have just a fraction of that," he says.
The US president says that the new accord is already helping spur a wave of private sector deals.
He says that American company X-energy and British company Centrica - the owner of British Gas - are announcing a deal to deploy nuclear reactors across UK.
It's been "in the wind" for years now, says Trump, but now "finally" getting done.
Trump and Starmer have finished delivering their remarks - we'll bring you the rest of the key lines here shortly.
Trump thanks the business leaders for being there today, and notes that the UK was the first country to make a trade deal with the US earlier this year.
"The ties between our countries are priceless," he says. The relationship is a "beautiful inheritance" and the two governments are "making those ties closer than ever before", he adds.
Trump says "there's no more natural partnership in the world" and that they are "building up the industrial capacities of both our countries, which is important for defence".
Image source, ReutersDonald Trump begins his address now, hailing the "unbreakable bond" between the US and the UK.
Trump then thanks Starmer for welcoming him to "this beautiful place", and King Charles and Queen Camilla for a "fantastic evening".
He describes his second state visit as an "exquisite honour", adding: "The ties between our countries are priceless."
Starmer tells the business leaders gathered that they have also struck a deal on civil nuclear power, which he says will generate power for millions of businesses.
He says this will drive down bills and drive up security on both sides of the Atlantic.
Image source, EPAReferring back to a deal agreed with the US on tariffs back in May, Starmer says the UK "got the best deal" then, with the "lowest tariffs in the world in vital sectors".
"It was a tough negotiation but we did it for a reason," Starmer says, calling it a "win for both sides".
The prime minister continues, adding: "In a moment, the president and I will sign our ground-breaking new technology partnership - the Tech Prosperity Deal. It's a blueprint to win this new era together."
The prime minister says the UK and US are leading sectors such as tech, finance, defence and energy.
"Just look at what we're achieving today together," he says.
Today's deal, with billions flowing "both ways of the Atlantic", is the biggest of its kind in British history "by a country mile", Starmer says.
The prime minister says this deal means life-changing investments in the UK, which will make thousands of working people "better off".
"It shows the potency of this partnership," Starmer tells those in the room.
Image source, Getty ImagesStarmer says the US is the UK's "single biggest trading partner".
"Together we support over 2.5 million jobs across both economies," he says.
"We have the great and the good of British and American business sitting with us," he continues, addressing the audience made up of business leaders.
Keir Starmer, sitting with Donald Trump by his side, welcomes those gathered and tells the US president: "You are among friends."
Starmer continues, saying: "I think we all agree, there's so much to celebrate in the special relationship between our two countries."
Image source, Getty ImagesWe're just hearing from Starmer and Trump at Chequers, ahead of a meeting with business leaders.
We'll bring you the key lines here shortly.
While Melania Trump and the Princess of Wales are spending time in Frogmore Gardens, Donald Trump and Keir Starmer are meeting at Chequers.
Some of today's talks are expected to centre around business.
There were several business leaders at last night's state banquet, including Apple CEO Tim Cook and CEO of the Blackstone Group, Stephen Schwarzman - you can see who else was at the event in the seating plans below.
Following the banquet, several major US tech firms pledged tens of billions of pounds worth of investment in the UK.
As we've just mentioned, Melania Trump and the Princess of Wales have been spending time together in Frogmore Gardens, Windsor.
The two women have been meeting with a group of young scouts for some arts and crafts and to take part in a game featuring a parachute filled with balls, much to the children's delight.
It was all topped off with a picnic, complete with special honey sandwiches.
One volunteer was heard to tell the first lady that the children "are quite taken with you". Here are some of the best pictures.
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Sean Coughlan
Royal correspondent
Image source, PA MediaThere was literally a sweet moment when the Princess of Wales spent time with First Lady Melania Trump this morning.
They were meeting the chief scout, Dwayne Fields, and some young scouts, with Catherine giving the children sandwiches made with honey from the beehives in her Anmer Hall home in Norfolk.
Melania also brought jars of honey from the White House to give to the children.
They were there for a nature project and it was much more relaxed and informal than last night’s fancy state banquet, sitting in tiny primary school-size chairs rather than in a grand hall.
But it was another moment when the next generation, the Prince and Princess of Wales, has been stepping up as royal hosts.
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Gary O'Donoghue
Chief North America correspondent
So far the president's state visit has been a triumph of careful, controlled choreography.
Despite the classic British weather being not as helpful as it might have been, things went like clockwork during his day in Windsor Castle. Nothing off-colour, no unguarded remarks caught by stray microphones which can so often derail the best laid plans.
The apparent mutual adoration exhibited in the speeches from the King and the president at their banquet oozed with compliments and affirmations of the much talked about special relationship.
But today, with the prime minister at Chequers, there are potential pitfalls.
There are real policy differences on key issues such as the wars in Gaza and Ukraine; and despite the showcasing of eye-watering numbers when it comes to potential investment, there are sticking points on trade which can often be the thing that riles this president up.
The news conference at the end of the trip is the moment of jeopardy; that's when the wheels can come off as we've seen with other leaders.
Keir Starmer will be praying for a similar performance to that he pulled off in the Oval office back in February, when this whole second state visit was first proposed.
Now inside Chequers, the US president has been viewing the Sir Winston Churchill archives with the UK prime minister, and the pair have been holding bilateral talks.
Later, Starmer and Trump will join a business reception, hosted by the UK chancellor.
A joint news conference is scheduled for later this afternoon, before the president and first lady head back to the US.
We'll continue bringing you the latest as it happens.
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Image source, ReutersFour men who were arrested after images of Donald Trump with Jeffrey Epstein were projected on to Windsor Castle have been bailed, police say.
A 60-year-old from East Sussex, a 36-year-old from London, a 37-year-old from Kent and a 50-year-old from London were held on suspicion of a number of offences - including malicious communications and public nuisance - over the projection of the US president and the late convicted sex offender ahead of the state visit to the UK.
Thames Valley Police say the men have been released on conditional bail until 12 December while the investigation continues.
This morning President Trump departed Windsor Castle to meet Prime Minister Keir Starmer at Chequers.
Let's take a look at how the day has unfolded so far:
Image source, PA MediaThe King and Trump formally bid farewell on the final day of the US president's state visit to the UK
Image source, EPAShorty after departing Windsor Castle in Marine One, Trump arrived at Chequers, the country residence of the prime minister in Buckinghamshire
Image source, ReutersOn arrival, Trump was welcomed by Starmer and his wife, Victoria, ahead of talks expected later today
Daniela Relph
Senior royal correspondent, in Windsor
Image source, ReutersThe First Lady and the Queen have also been looking at the miniature books inside the Royal library - including a miniature copy of the Gruffalo by Julia Donaldson and Axel Scheffler, and a recipe book by the Queen's son, Tom Parker Bowles.
The first lady has described them as “beautiful.”
The Queen has shown Melania Trump the selection, which is made especially for the dolls' house.
She was engaged in how the miniature books are made - how they are bound and how you write in them.
Also on display is a miniature version of “Vespers” by A.A Milne - the beginnings of the Winnie-the-Pooh story.
The library is an area of expertise for the Queen, who supports several literacy charities.
Daniela Relph
Senior royal correspondent, in Windsor
The Queen and first lady have viewed the Queen Mary's Dolls' House - a precious exhibit within the castle.
In fashion news, the first lady is wearing a tan leather skirt and jacket. No hat today.
Meanwhile, the Queen wears a white coat dress with a black trim by Fiona Clare.