We're bringing our live coverage of the funeral to a close, but you can read our full story of the day here and see the best pictures of the ceremony that the duke planned for himself here.
And in the UK on BBC Two at 20:10 BST, you can also watch highlights of the ceremony and reflections on the duke's final journey.
Today's coverage was brought to you by Hugo Bachega, James Clarke, Dulcie Lee, Sarah Holmes, Serene Khalifeh, Joseph Lee, Mohamed Madi, Jennifer Meierhans, Claudia Redmond, Lauren Turner, Tiffany Wertheimer, George Wright and Katie Wright.
A view from inside the chapel - from the only reporter present
The BBC's Eleanor Oldroyd, who has reported on two royal funerals and three weddings, was the only reporter or broadcaster inside St George's Chapel today. So what was it like inside?
Afterwards, she said: “Doing something inside the chapel is very special, it’s a very unique position, and it’s a very responsible position as well… it’s a moving time for a lot of people.”
She reported from a small, specially-built, sound-proofed, “hermetically-sealed” box above the high altar. It will come down in the coming days.
“I was being very careful to make sure the door was completely shut, apart from anything else. The dread would be that you draw attention to yourself,” she said.
In position from 13:30 BST, she had a TV monitor to see the procession begin to arrive outside the chapel.
"You can feel your heart beating much more rapidly and insistently at that point. Because, however many years of broadcasting you’ve done, you don’t get the chance to do this very often.”
The coffin being lowered into the vault was “a real moment of drama and theatre, but also a very moving moment", she said, adding that many people had said they had been moved by the buglers on the Last Post, or the national anthem, or the arrival of the Queen on her own into the chapel.
She described one moment that viewers on TV may have missed. The Duke of York, sitting two seats along from the Queen, turned to her "just as if he was checking that she was OK".
"I don’t know whether that’s what he was doing, but it felt to me a little moment of concern from mother to son.”
A minute's silence was held at football's early kick-offs, as well as before qualifying at the Emilia Romagna Grand Prix in Imola.
Schedules across sport were adjusted to avoid clashing with the funeral.
In addition to holding a minute's silence, players and officials at football matches also wore black armbands.
A minute's silence was held at men's English Premiership and Women's Premier15s rugby union matches across the country.
Play was paused at the World Snooker Championship at the Crucible in Sheffield to hold a minute's silence, while the same occurred at matches in cricket's County Championship.
In pictures: Flags at half-mast and gun salutes in Europe
Tributes have been paid in some of the European countries with links to the Duke of Edinburgh.
In Denmark, flags at the Amalienborg Palace in Copenhagen were seen flying at half mast. Born in Corfu in 1921, Prince Philip was the only son of Prince Andrew of Greece and Denmark and Princess Alice of Battenberg. That made him Prince of Greece and Denmark.
Getty ImagesCopyright: Getty Images
There has also been a ceremony in Stockholm, where the duke's Royal Order of the Seraphim shield was placed in the Riddarholmen Church during a one hour bell-ringing.
Prince Philip was made a Knight of the Order of the Seraphim by King Gustaf VI Adolf in 1954.
Getty ImagesCopyright: Getty Images
In Malta, tributes were paid in Pieta outside Villa Guardamangia where, between 1949 and 1951, then-Princess Elizabeth and Prince Philip regularly stayed.
Below, re-enactors of the Malta Heritage Trust firing a nine-gun salute to honour the duke.
Cambridges post tribute to 'devoted consort'
The Duke and Duchess of Cambridge have paid tribute to the Duke of Edinburgh following his funeral, describing him as a "devoted consort to Her Majesty The Queen".
In a statement on Twitter, they said: "The Duke of Edinburgh was a devoted consort to Her Majesty The Queen for nearly 70 years, from Her Majesty’s Accession in 1952 until his death."
Watch: How the minute's silence was observed at Windsor
In between blasts from a cannon, a perfect stillness descended around St George's Chapel in Windsor, where the coffin of the Duke of Edinburgh had been brought.
Outside, royals in the procession party and members of the military stood in silence for a minute to mark the duke's passing.
Inside, the rest of the Royal Family, including the Queen, bowed their heads in quiet contemplation.
What was the red container on Prince Philip's carriage?
The Duke of Edinburgh's much beloved carriage was part of his funeral today, brought to the Windsor quadrangle by his Fell ponies.
On the seat sat Prince Philip's hat and gloves - and a plastic container with a red lid. That is the Duke's sugar lump pot, out of which he would treat the ponies after every ride.
Prince Philip got into carriage driving after having to give up polo because of arthritis. He is often credited with making the sport popular in the UK.
In the garden of the Duke of Edinburgh pub in Winkfield, near Windsor, locals said they were moved by the ceremony.
Ruth Nichols, who lives in Windsor, said today’s funeral was moving, that she was "proud to be British" and that the service was "breathtaking".
Although it was a sad occasion and "poignant to be here", Sharon Hoscik said it was "lovely to see the family altogether" for Prince Philip's funeral.
She and her husband had intended to be at the castle, but after the public was asked to stay away because of the pandemic, she said she felt this pub was a good place to pay her respects.
Brian Nichols and his friend Glyn Davies had booked a table to enjoy their first pub outing since Covid restrictions were eased, before the Duke died.
Nichols said he was "very upset about it all, it brings you to tears". But Davies said it was a "day of real quality and true respect to the man he was".
UK leaders mark duke's funeral
Earlier, we brought you Boris Johnson's tribute to the Duke of Edinburgh, and other leaders around the UK have also been paying their respects.
Scotland's First Minister Nicola Sturgeon expressed her "deepest condolences" to the Queen and wider Royal Family after the Duke of Edinburgh's funeral took place.
"The many tributes paid to the Duke of Edinburgh in recent days have shown the depth of his contribution to public life over more than 70 years as well as his longstanding ties to Scotland," she said.
"Many have reflected on his distinguished wartime record, his commitment to countless charities and organisations, and his love and support for the Queen throughout their marriage.
"Today, as the Queen and the Royal Family mourn the death of a loved one, we take this opportunity to celebrate and honour an extraordinary life."
Meanwhile, Northern Ireland's First Minister Arlene Foster marked the minute's silence for the Duke of Edinburgh at Enniskillen Castle. Flowers were laid beneath a tree planted by the duke during his first visit to the castle in 1949.
Welsh First Minister Mark Drakeford, who sent a flower wreath to the duke's funeral on behalf of the people of Wales, also marked the silence.
'I feel extra special I've got this opportunity'
Marine Kieran Machin, 24, says he considers himself lucky to be one of the Royal Marines chosen to take part in Prince Philip's funeral.
Before the ceremony he told the BBC's Jonathan Beale it has been a very proud day for him and his family.
A wedding in Windsor while funeral takes place
Religion reporter, BBC News
descended across Windsor High Street at 15:00 to mark the start of the duke's
Family had asked members of the public to stay away because of coronavirus
restrictions. And the streets of this town were far emptier than they would
otherwise have been.
hundreds still gathered in the sun to pay their respects.
after the silence, as the funeral service was getting under way in St George's
Chapel, a short distance away at Windsor's Guildhall a wedding was coming to an
Durnian said he and his partner Jodie had rearranged their wedding five times
because of Covid-19 restrictions.
He said it had felt "strange" to learn last week that their wedding would be
taking place just metres away from Prince Philip's funeral.
we're overjoyed. This day has been in the making a long time. But obviously,
there's a lot of people around to mourn," he said.
they had originally booked to get married on 4 July last year in Wales and while they did not want to detract from the "sad occasion" at St George's Chapel, they were "delighted to finally be married".
Prime Minister Boris Johnson pays tribute
Prime Minister Boris Johnson observed the minute's silence earlier today at Chequers, his country residence. His official account posted a photograph of the moment he paid his tribute.
The funeral service, planned carefully by the Duke of Edinburgh over so many years, has now concluded. These were some of the most significant moments of the ceremony:
The Dean of Windsor praised his public service, his "unwavering loyalty to our Queen, by his service to the Nation and the Commonwealth, by his courage, fortitude and faith"
But he also drew attention to the duke's private qualities known to the Royal Family: "the challenges that he has set us, the encouragement that he has given us, his kindness, humour and humanity"
The duke selected music that he had commissioned from composers such as Sir Benjamin Britten, and a setting of Psalm 104 written by William Lovelady for the duke's 75th birthday
The Archbishop of Canterbury gave thanks for the duke's "resolute faith and loyalty, for his high sense of duty and integrity, for his life of service to the Nation and Commonwealth, and for the courage and inspiration of his leadership"
In the most solemn moment of a solemn day, the duke's coffin was lowered into the Royal Vault while military bands played, ending on Action Stations, the naval signal that all hands should be ready for battle
The coffin was draped in his personal standard, and wreathed with flowers chosen by the Queen. His Admiral of the Fleet cap and sword lay across it
The Queen sat alone, nearest the altar, during the service. Prince William and Prince Harry sat opposite, but left the church side by side
Dukes of Cambridge and Sussex leave chapel together
The Queen led the royal family from the chapel, followed by the Prince of Wales and the Duchess of Cornwall.
She had a brief conversation with the Dean of Windsor outside the chapel before being driven away.
The Duke of Sussex and Duke and Duchess of Cambridge could be seen chatting together after they left the service.
In pictures: Queen and nation bid farewell to Prince Philip
The Queen has led her family - and the nation - in mourning at the funeral of her husband, the Duke of Edinburgh, in the grounds of Windsor Castle.