Making a televised address from his family holiday in the US Virgin Islands, Mr Biden said his predecessor represented “the most fundamental human values we can never let slip away”.
“Jimmy Carter stands as a model for it means to live a life of meaning and purpose,” he said.
“I see a man not only not our times, but for all time. We could all do well to be a little more like Jimmy Carter.”
More from World
Asked if there were any lessons president-elect Donald Trump could learn from Mr Carter, Mr Biden answered: “Decency, decency, decency”.
It was revealed in February last year that Mr Carter was receiving hospice care and would “spend his remaining time at home with his family”.
He had decided against “additional medical intervention” following a series of brief hospital stays.
Image: Jimmy Carter as Georgia’s 76th governor.
Pic: Jimmy Carter Library
The Carter Center says there will be opportunities for the public to pay their respects in Atlanta, Georgia, and Washington DC before a private interment in his hometown Plains, while final arrangements for his state funeral are still being made.
Mr Biden says his team is “working to see to it that he is remembered appropriately.”
The White House has declared 9 January a national day of mourning.
Among those who have paid tribute to Mr Carter are:
US president-elect Donald Trump
The incoming US president Donald Trump, who takes office on 20 January, said: “The challenges Jimmy faced as President came at a pivotal time for our country, and he did everything in his power to improve the lives of all Americans.
“For that, we all owe him a debt of gratitude.”
Former US president Barack Obama
Fellow Democrat Barack Obama honoured Mr Carter’s achievements in the White House, including “the Camp David Accords he brokered that reshaped the Middle East… nominating a pioneering women’s rights activist and lawyer named Ruth Bader Ginsburg to the federal bench… [and] becoming one of the first leaders in the world to recognise the problem of climate change”.
He also paid tribute to the “longest, and most impactful, post-presidency in American history”, during which he monitored more than 100 national elections, helped virtually eliminate Guinea worm disease, and built or repaired thousands of homes around the world with his wife Rosalynn as part of Habitat for Humanity.
Image: The Obamas have bid farewell to Jimmy Carter (second from left). Pic: AP
Former US president George W Bush
Mr Bush said his predecessor “dignified the office”.
“And his efforts to leave behind a better world didn’t end with the presidency. His work with Habitat for Humanity and the Carter Center set an example of service that will inspire Americans for generations.”
Image: Carter gathered with fellow former presidents including George W Bush in 2009. Pic: AP
Bill and Hillary Clinton
Former president Bill Clinton, who worked with Jimmy Carter after he left the White House, and secretary Hillary Clinton said he “lived to serve others – until the very end”.
“From his commitment to civil rights as a state senator and governor of Georgia; to his efforts as president to… secure peace between Egypt and Israel at Camp David; to his post-presidential efforts at the Carter Center supporting honest elections, advancing peace, combating disease, and promoting democracy… he worked tirelessly for a better, fairer world,” they said in a statement.
Former US vice president Al Gore
Mr Gore praised Jimmy Carter for living “a life full of purpose, commitment and kindness” and for being a “lifelong role model for the entire environmental movement”.
UK Prime Minister Sir Keir Starmer
In his tribute, Sir Keir said Mr Carter “redefined the post-presidency with a remarkable commitment to social justice and human rights at home and abroad”.
The King
The UK’s monarch said he learned of President Carter’s death with “great sadness”, adding that he was “a committed public servant, and devoted his life to promoting peace and human rights”.
The King added: “His dedication and humility served as an inspiration to many, and I remember with great fondness his visit to the United Kingdom in 1977.
“My thoughts and prayers are with President Carter’s family and the American people at this time.”
Former UK prime minister Gordon Brown
Mr Brown said he was “so sad” to hear of the death of his “good friend”.
The former UK leader said Mr Carter would be “rightly remembered as a statesman of unimpeachable integrity, who was admired around the world for his lifelong charitable work, his unwavering support for human rights and for his wonderful generosity of spirit”.
Image: Jimmy and Rosalynn Carter were given traditional Ghanaian attire as a gift from the chief of Tingoli village in northern Ghana, during a field trip to assess Carter Center disease prevention work in Africa. Pic: Carter Centre
French President Emmanuel Macron
“Throughout his life, Jimmy Carter defended the rights of the most vulnerable people and tirelessly led the fight for peace,” the French president wrote on X.
“France sends its heartfelt thoughts to his family and to the American people.”
Husam Zomlot, former Palestinian ambassador to the US
Mr Zomlot, now ambassador to the UK, said Mr Carter would be “remembered by the Palestinian people as the first US president to advocate for the freedom of Palestine and the first to warn about Israeli apartheid”.
He added: “He worked for decades to achieve a just and lasting peace in Palestine and the rest of the region.”
Chip Carter
Mr Carter’s son Chip said: “My father was a hero, not only to me but to everyone who believes in peace, human rights and unselfish love.
“My brothers, sister and I shared him with the rest of the world through these common beliefs.
“The world is our family because of the way he brought people together, and we thank you for honouring his memory by continuing to live these shared beliefs.”
Israel had “no other choice” but to attack Iran because it was proceeding “dramatically” towards a nuclear bomb, Israeli President Isaac Herzog has claimed.
He also suggested the Israeli war cabinet was discussing Iran’s Supreme Leader, Ayatollah Ali Khamenei, amid reports that President Donald Trump vetoed a plan to kill him.
It comes as Israel and Iran continue to fire missiles at each other after Israel launched an unprecedented strike on Iran’s nuclear and military capabilities.
Tehran has long denied that its nuclear program has been attempting to obtain a nuclear weapon.
Please use Chrome browser for a more accessible video player
0:58
Sky’s Yalda Hakim interrupted by air raid sirens
Mr Herzog was asked why Israel attacked Iran when it did.
“When you take such decisions of historic magnitude and proportions, you have to analyse all facets and all facts,” he replied.
“The truth of the matter is there was no other choice.”
Image: Isaac Herzog speaks to Yalda Hakim
He claimed Iran was proceeding “dramatically” towards the bomb, both in terms of the enrichment of uranium and, “clandestinely”, the armament part of the process.
“I’ve always been very crystal clear with regards to a nuclear capability of our enemies – it has to be removed at once.”
Mr Herzog added: “We have to remove the Iranian nuclear program because we see the negotiating process as being futile because they are lying whilst talking to us.
“They are lying whilst talking to the United States and other allies.”
Please use Chrome browser for a more accessible video player
He also suggested the Israeli war cabinet was discussing Iran’s Supreme Leader Ayatollah Ali Khamenei, after reports Mr Trump vetoed an Israeli plan to kill him.
“Let’s just remember that the Supreme Leader of Iran has for years called for the annihilation of Israel.”
Iran’s response to Israeli attacks on its nuclear facilities is “self-defence” and a “matter of principle”, the Iranian ambassador to the UK has told Sky News.
Speaking exclusively to The World With Yalda Hakim, Seyed Ali Mousavi said the “barbaric Israeli regime” is “violating international law” – describing Israel’s actions in recent days as “an act of aggression against the Iranian people”.
The conflict between Israel and Iran – once played out in a series of proxy wars – has escalated in the past three days.
Image: Sky’s Yalda Hakim spoke to Iran’s ambassador to the UK, Seyed Ali Mousavi
Please use Chrome browser for a more accessible video player
1:42
Israel-Iran: How the conflict escalated
On Friday morning, explosions hit Tehran as Israel carried out a major attack on its top army leaders, nuclear sites, and nuclear scientists.
Iran threatened “severe punishment” and quickly retaliated with a wave of missiles.
Please use Chrome browser for a more accessible video player
0:18
Missile aftermath in Israel
Please use Chrome browser for a more accessible video player
0:31
Israeli missile hits warehouse in Iranian city
When questioned about whether Iran could continue fighting Israel, the Iranian ambassador told Yalda Hakim that “it is a matter of principle”.
He said: “This is about self-defence, there is no doubt about it.
“We are a responsible member state of the UN and we do all activities according to our international obligations.
“Any activities are only in the framework of self-defence.”
Image: Damage from an Iranian missile attack to a building in Bat Yam, Israel. Pic: Reuters
Image: Explosions over Jerusalem on Sunday
He added that his country would “do our best to preserve our territorial integrity”, and that “with the help of God”, Iran will “materialise endeavours concretely against our enemy – the Israeli regime”.
Mr Mousavi also told Hakim that Iran’s nuclear activities are “monitored”, and that recent comments by the International Atomic Energy Agency (IAEA) were “politically motivated”.
Please use Chrome browser for a more accessible video player
0:58
Missiles have also been seen over Tel Aviv
The UN nuclear watchdog’s board of governors found Iran was not complying with its nuclear obligations for the first time in 20 years.
Iran said it has “always adhered” to the safeguarding obligations laid down by the watchdog.
Please use Chrome browser for a more accessible video player
15:10
Iranian ambassador reacts to strikes – full interview
Announcing Operation Rising Lion on Friday, Israeli Prime Minister Benjamin Netanyahu claimed Iran had recently taken steps to weaponise enriched uranium, which could be used to make nuclear weapons.
But Mr Mousavi stressed that Iran’s “peaceful activities” at its “nuclear fields” were only for the “generation of electricity, and other peaceful” things.
Iran was due to continue its round of negotiations with the US in Muscat – however, this was cancelled, given recent tensions.
The government is warning people not to travel to Israel under any circumstances, as the country’s missile exchange with Iran shows no sign of abating.
On Friday, the Foreign Office warned against “all but essential travel” to most of Israel.
The areas around Gaza, the West Bank and the Golan Heights were already classed as red zones, with warnings to avoid travel to these areas.
But the government has now updated the warning for the remainder of the country to red.
This puts Israel on the same level as Iran, and the change of advice is also likely to impact travel insurance.
However, with Israel’s airspace closed, it is unlikely many people will be attempting the journey, and Israel’s national airline El Al has announced it is cancelling flights to and from many European cities, as well as Tokyo and Moscow, until 23 June.
The change in travel advice comes after a second night of ballistic missile barrages from Iran following Israel’s attack in the early hours of Friday morning.
Please use Chrome browser for a more accessible video player
1:43
An eight-storey residential building in Tel Aviv was hit by a missile last night.
On Sunday morning, Israel’s health ministry said 12 people had been killed over the past day, taking the total since Friday to 15. It also said 385 people had arrived at hospital with injuries overnight.
Iran has not provided a total number of deaths or overall casualties, but has claimed dozens have been killed.
Iran’s health minister has said most of those injured and killed in Israeli strikes were civilians. According to comments carried by news agency IRNA, he said the majority were women and children.
Please use Chrome browser for a more accessible video player
18:00
The chancellor said UK forces could “potentially” be used to help defend Israel.
The UK government is sending military assets, including fighter jets, to the Middle East.
While the prime minister would not confirm to reporters that UK forces could be used to defend Israel from future Iranian attacks, the chancellor told Sky News earlier that the government is “not ruling anything out”.
Speaking to Sky’s Sunday Morning With Trevor Phillips, Rachel Reeves said sending military assets to the Middle East “does not mean that we are at war”, and emphasised that “we have not been involved in these strikes or this conflict”.
“But we do have important assets in the region,” she continued. “And it is right that we send jets to protect them. And that’s what we’ve done. It’s a precautionary move, and at the same time, we are urging de-escalation.”
Pushed on the question of what the UK would do if Israel asked for support with its operations, the chancellor replied: “I’m not going to rule anything out at this stage. It’s a fast-moving situation, a very volatile situation. But we don’t want to see escalation.”