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The Iranian Revolutionary Guard Corps (IRGC) says it will deliver a "regret-inducing response" if Israeli strikes on Lebanon don't stop immediately, state media reports
Israel and the US say Lebanon is not included in a two-week ceasefire deal with Iran. PM Benjamin Netanyahu says today Israel delivered "the greatest blow" to Hezbollah since the start of its ground operation in Lebanon
White House Press Secretary Karoline Leavitt says Vice-President JD Vance will lead a US negotiating team at peace talks in Pakistan on Saturday - here's what we know about the truce
Iran warns ships passing through the Strait of Hormuz without permission will be "targeted and destroyed", adding the route "remains closed" - Leavitt says Trump wants the strait to reopen "without any limitations"
Since the ceasefire was announced there have been reports of attacks continuing in the UAE, Kuwait, and at an oil refinery in southern Iran
Mohammad Bagher Ghalibaf, the speaker of the Iranian Parliament, says that three ceasefire clauses have already been "openly and clearly violated"
Image source, ReutersPresident Donald Trump steps up to the podium and is about to speak to the press from the White House.
You can watch live at the top of the page and we'll bring you all the key lines here.
Sarah Smith
North America editor, reporting from the White House
Image source, Sarah Smith / BBCThere is a strict hierarchy of reporters in Washington.
A few hundred of us are lucky enough to have passes that let us enter the White House grounds whenever we like. But only 49 journalists have assigned seats inside the press briefing room. It's a hallowed privilege to get a spot on the seating chart.
On a day like today - when President Trump himself will appear to take questions - the small briefing room is absolutely packed with journalists who don't have assigned seats, crammed around the edges of the room. Many have been here for hours already, trying to secure a spot from which to ask the president a question.
As we wait we can hear bursts of music coming from the Easter celebrations on the South Lawn
An Iranian airstrike damaged buildings in Ramat Gan, Israel as Houthi supporters in Yemen rallied in solidarity with Iran and Lebanon. Meanwhile, Israel continued bombarding southern Lebanon, killing at least four people and injuring dozens of others in Dahieh.
Here's the latest in pictures.
Image source, Anadolu via Getty ImagesAn excavator removes rubble from a site after an Israeli airstrike on Dahieh near Beirut, Lebanon
Image source, AFP via Getty ImagesSupporters of the Iran-backed Houthi movement brandish their weapons as they rally in solidarity with Iran and Lebanon in Sanaa, Yemen
Image source, Getty ImagesIsraelis take cover in a public park as sirens sound during Iranian missile attacks in Hod Hasharon, central Israel
Image source, ReutersA relative of a victim mourns as people lower the shrouded body of a person killed in an Israeli strike into a grave at a temporary mass grave site in Tyre, Lebanon
Image source, Getty ImagesIsraeli security forces inspect the damage to an apartment building struck by an Iranian missile in Ramat Gan, Israel
Bernd Debusmann Jr
Reporting from the White House
Image source, Bernd Debusmann Jr / BBC NewsThere have been very few occasions in which the White House briefing room is as crowded as it is now.
I just returned from an attempted walk-through of the briefing room to try get to the area in which some of the White House press staff have their offices - but was forced to return, unable to make my way through a sea of reporters.
Only some outlets have a dedicated seat in the room, meaning that many reporters - in today's case, dozens - have to find space from which they hope to catch a glimpse of the president, or get his attention for a question.
Space is at a premium today, and since about 0830 this morning, reporters from some outlets came early to get a good spot.
There will always be a high level of attendance when Trump makes an appearance, but today is more crowded than usual - a sign of the enormous international interest in the ongoing war in Iran.
I've been in two of his rare briefing room appearances of this term, but both were impromptu, last-minute affairs that appear to already be dwarfed by today.
Anthony Zurcher
North America correspondent
Donald Trump has repeatedly said that the joint US-Israeli war on Iran is nearly over and a negotiated settlement is close.
Perhaps the president will provide more information about the status of mediated talks with Iranian leaders at his press conference this afternoon. But barring evidence of a breakthrough, any claims he makes of impending American victory clash with a less-than-conclusive reality on the ground.
First and foremost, Iran still controls the strait of Hormuz. While Trump has at times said that ending the Iranian threat to shipping in this key waterway is not a US goal, his recent threat to attack Iranian civilian power and transportation targets if the strait is not fully opened undercuts this.
Iran has also proven that it still has the military capability to attack its neighbours with drones and missiles. And as demonstrated by recently the downing of two US aircraft, its air defences still have a bite.
Pro-Iranian proxies in the region, while weakened, also still pose a regional danger. Houthi rebels in Yemen, in particular, have shown an ability to strike commercial shipping outside the Gulf and targets in Israel.
Finally, Iran's regime is still in power. While Trump has backed away from early calls for unconditional surrender or a popular uprising, an end to the conflict that leaves potentially more hard-line Iranian leaders in control may not be the kind of victory many Iran hawks in the administration hoped for – or expected – when this war began.
While this war has been a display of American tactical military might, many of the overall strategic objectives are still unrealised.
We've been reporting Iran had submitted a 10-point response to a US proposal to end the war, including a rejection of a proposed ceasefire, saying there needs to be a permanent end to the war.
At an earlier press conference Iran's Foreign Ministry spokesman Esmail Baqai claimed a truce would allow the US and Israel "a short pause to regroup and commit new crimes".
He said Iran could not trust American negotiators. "The enemy must be compelled to regret its actions to the point that it no longer dares to threaten Iran's sovereignty," he said.
During his earlier media conference Trump continued his recent criticism of the UK, which he said has "a long way to go".
"We won't want another Neville Chamberlain, do we agree? We don't want Neville Chamberlain."
Chamberlain led a policy of appeasement towards Nazi Germany in the 1930s. He famously - and prematurely - proclaimed "peace in our time" after signing an agreement with Adolf Hitler in September 1938 to allow him to annex Czechoslovakia's Sudetenland, in order to avoid a wider European war.
Hitler broke the agreement and invaded Poland in 1939.
Trump has repeatedly criticised the UK's refusal to become involved in the Iran war and has previously said of Prime Minister Keir Starmer: "He's no Winston Churchill".
We'll hear more from Trump at his press conference at 13:00 ET (18:00 BST).
Image source, EPAReturning to the rescued airman, Trump said Iran was able to down a US aircraft with a "lucky shot".
However, he conceded "we have some helicopters with a lot of bullet holes in them right now probably".
Before ending his remarks to journalists, Trump also insisted, amid an intense US-Israeli bombing campaign, "the Iranian people are most unhappy... when those bombs stop".
The president repeated his demand that Iran could not have nuclear weapons. "They are lunatics and you can't put nuclear weapons in the hands of a lunatic," he said.
We can bring you more now from Trump's comments to the press made a short while ago at the White House.
The president repeated threats to Iran that the US would continue striking its infrastructure if they don't surrender.
"And if they don't, they'll have no bridges. They'll have no power plants. They'll have no anything."
He added that he "won't go further, because there are other things that are worse than those two."
"If I had my choice, what would I like to do? Take the oil," he says.
"Because it's there for the taking. There's not a thing they can do about it.
"Unfortunately the American people would like to see us come home. If it were up to me I'd take the oil, I'd keep the oil [...] make plenty of money and I'd also take care of the people of Iran."
Image source, Getty ImagesContinuing his remarks to the press, Trump is asked why he used "such vulgar language" in his Truth Social post yesterday - referencing the expletives he used in his latest threat for Iran to open the Strait of Hormuz.
"Only to make my point," he replies.
"I think you've heard it before."
President Trump is speaking to the press as Easter celebrations continue at the White House.
He insists negotiations are happening with "reasonable people" in the Iranian government.
He says Iran's new leaders are much less radicalised compared to previous leaders who have been killed since the start of the war.
Bernd Debusmann Jr
Reporting from the White House
I'm currently at the White House, where President Trump and his wife Melania are presiding over the annual Easter Egg Roll - while at the same time discussing the very serious ongoing war in Iran.
The Easter Egg Roll is a long-running tradition at the White House, which first marked it in 1878.
It's, in theory, a light-hearted event in which staff members, guests and even reporters bring their children along.
This year's edition is expanded, and besides the hunt for Easter eggs there are activity stations such as "Hen to Home" - in which children can get a close look at live chicks, as well as a military card writing station and lunar exploration experience.
The carefree, child-focused atmosphere, however, stands in stark contrast to President Trump's comments on Iran, which is says is "not so strong" now following more than a month of sustained US and Israeli bombing.
We're expecting more substantive comments on the war at his later news conference in the White House briefing room.
It is clear, however, that he is celebrating the success of the complex and dangerous search-and-rescue mission inside Iran as a notable victory - in a war that seems to many Americans to be getting more complicated and difficult to get out of.
Image source, ReutersUS President Donald Trump has been now speaking at the White House's annual children's Easter event.
Flanked by the Easter Bunny, Trump starts by speaking about the war in Iran and yesterday's rescue of an injured airman left stranded in a remote mountainous region of Iran after his aircraft was shot down.
"It's something that you rarely see," Trump says of the rescue, calling it difficult and high-risk. "I don't think it gets much more hostile than Iran."
He says it's hard to conduct such an operation within the territory of an enemy that is "strong", but adds that Iran is not as strong as it was a month ago.
Trump also teased his news conference later today - around 13:00 local time (18:00 BST) - during which he's expected to speak more about the war and the rescue.
Trump is now taking questions from the press at the White House - watch live at the top of the page.
Ghoncheh Habibiazad
Senior reporter, BBC Persian
According to Iranian state news agency IRNA, in its 10-point response Iran has rejected a ceasefire and emphasised the necessity of a permanent end to the war.
It says the response includes a list of Iranian demands - "including an end to hostilities in the region, a protocol ensuring safe passage through the Strait of Hormuz, as well as reconstruction and the lifting of sanctions".
IRNA adds that US President Donald Trump "by extending the repeated deadline once more, has stepped back from his previous threats."
The state-run Iranian news agency Irna is now reporting that Tehran has submitted its response to a US proposal to end the war.
The agency reports the 10-point response includes a rejection to a proposed ceasefire, saying there needs to be a permanent end to the war.
Bernd Debusmann Jr
Reporting from the White House
It's already extremely crowded at the White House, where dozens of reporters have come in early to stake their claims on limited real estate in the briefing room ahead of President Donald Trump's news conference this afternoon.
When Trump steps up to the podium at 13:00 local time, he will be peppered with questions about the successful rescue operation that recovered the two crew members of a US F-15, as well as where he sees the conflict going in coming days, weeks and months.
One question that he is likely to face is about the lingering threats to US forces, despite his claims that Iran's military is largely unable to function.
Trump has claimed that US forces have achieved "air superiority" over Iran.
That does not mean they are immune to threats, as the pilots of at least two aircraft found out in recent days. It may, however, mean that any escalation could result in US casualties that might prove domestically difficult for the administration.
Trump is also likely to be asked about the state of any ongoing negotiations or potential ceasefire - which the White House this morning described this morning as "an option".
There is also, of course, his looming deadline to begin hitting Iranian energy targets.
Image source, PA MediaWe've had some reaction through to Donald Trump's expletive-laden threat aimed towards Iran on social media yesterday.
UK Education Secretary Bridget Phillipson has distanced the government from his choice of language.
"We see this kind of language often used by President Trump. It's for President Trump to explain the language that he chooses to use. It is not language or an approach that this Government would be taking," she says as she reiterates the UK's position within the war is to participate in defensive action only.
It's critical to the global economy
The Strait of Hormuz is one of the world's busiest oil shipping channels, and about 20% of the world's oil and liquefied natural gas usually passes through it. It also carries a third of the world's fertiliser trade, and is a vital channel for food, medicines and technological supplies.
Iran can influence traffic through the channel with attacks and threats
The strait is narrow, and it has been easy for Iran to launch strikes at commercial ships - even after most of its navy was destroyed. The fear of being attacked means most vessels will not attempt the crossing without Iran's blessing, which gives the country significant leverage.
It would be difficult to force open
Trump has suggested countries that can't get fuel through the strait should “build up some delayed courage, go to the Strait, and just TAKE IT".
But Maersk chief executive Vincent Clerc told the BBC that while naval escorts could offer a "temporary reprieve", it would take a "significant presence from the Navy to be able to provide a shield all the way through" - and even then, shipping and insurance companies would still balk at the risk.
Economic pressure is mounting fast
The strait's closure has dramatically pushed up global energy prices, with oil hitting $110 (£83.38) a barrel on Monday, and will also impact food, smartphones and medicines.
Trump is furious over this political flashpoint
Yesterday, in an expletive-filled post on Truth Social, he warned Iranians they would be "living in hell" if they did not meet his Tuesday deadline for reopening the strait. Trump has postponed his deadlines several times.
'We are at the edge of a battlefield': BBC reports near Strait of Hormuz
Image source, ReutersWe are due to hear from Donald Trump later today on the war in Iran.
Sunday saw him issue the latest in a series of threats to attack civilian infrastructure in Iran, if the country didn't open up the Strait of Hormuz by 6 April.
But his deadlines have chopped and changed over the course of the war - here's a recap.
Lorna Gordon
Reporting from Dubai
The United Arab Emirates is warning against a ceasefire that fails to address key issues in the region, including Iran’s nuclear programme and “the missiles and drones which are still raining down on us and other countries".
Dr Anwar Gargash, a senior adviser to the UAE president, made the comments in a briefing that his country wants to see an end to the conflict but not one that creates continuous instability in the region going forward.
Iran has had a chokehold on the Strait of Hormuz during this conflict. A handful of tankers are passing through the waterway every day, but the numbers are vastly reduced compared to normal.
He said Iran’s strategy was likely to harden the Gulf’s security alignment with Washington - not reduce it - and lead to Israeli influence in the region becoming more prominent. He added that the UAE would “double down” on its relationship with the United States.
He said “the Strait of Hormuz cannot be held hostage by any one country” and while the UAE was not ready to act as a maritime force, it would join "any American-led effort, international effort to secure navigation in the Strait.”
Image source, PA MediaCars at a petrol station in Bristol on Sunday