With the US now waking up, here's a quick recap of what's happened over the last few hours:

• Donald Trump has been re-elected to the White House, defeating Kamala Harris after wins in a number of key swing states - including Pennsylvania, Wisconsin, North Carolina and Georgia

• Many world leaders have congratulated him on his historic win - including those from Europe, Asia and Africa
• Harris hasn't officially conceded yet - we're expecting to hear from her later today

• One of the major reasons behind Trump's win appears to have been the economy, writes the BBC's Sarah Smith, with many focusing on the question: "Are you better off now than you were four years ago?"
• It was a strong night for Republicans across the board, and they have also taken control of the Senate
• Results are still coming in, and we're waiting on projections from four states, as well as a number of House, Senate and gubernatorial races - a full breakdown can be viewed here

Image source, Reuters

Mexico President Claudia Sheinbaum says Trump's victory is "no cause for concern" for her country.

"We are a free, independent, sovereign country and there will be good relations with the United States," she tells the press.

Last time Trump was president, he pledged to build a wall on the Mexican border to stop immigrants entering the US. He has now promised to finish it when he enters office again.

He has also threatened to put high tariffs on the country if it does not stop immigrants from crossing into the US.

Hugo Bachega
Middle East correspondent, in Beirut

Ahead of the election, there was a lot of discontent in Lebanon, and indeed across the region, over President Biden’s Gaza policy. Many say Biden has been complicit in the killings of more than 40,000 Palestinians as Israel’s war against Hamas continues there.

And, many say, the US continued to support Israel with the weapons and bombs being used in Gaza and now against Hezbollah in Lebanon.

"We really don’t care. Both [Trump and the Democratic candidate, Kamala Harris] have the same policy," Sanaa El Banji, a pharmacist, told us. "They support Israel and they don't care about the war and situation in Lebanon. They always support the policy of Israel."

But, she added: "Trump is more aggressive, more direct, more transparent than the others."

Image source, Lee Durant

Wafa Karameh, a retired public worker, said: "The two [Trump and Harris] are the same but hopefully with Trump things will be better than what has happened during the past four years."

Image source, Lee Durant

Meanwhile, Omar Baalbahi, an engineer, said: "All we hope is that he will bring peace to this part of the world. We are keeping our fingers crossed. He is a person that walks the talk. We've seen the Democrats and we've been suffering … One has to be optimistic. We have only hope, right?"

Image source, Lee Durant

Faisal Islam
Economics editor

The world is scrambling to work out how serious Trump is about taxing the entire globe's imports into the US, from friend and foe.

Not just individual countries, such as China, or sectors, such as washing machines, but everything, from everywhere.

During the campaign he threatened tariffs in all directions to achieve all manner of diplomatic aims, from containing China, to protecting the role of the dollar, and preventing illegal immigration.

Tariff is "the most beautiful world in the dictionary", he said. It is a weapon, a source of leverage, he intends to use.

Some jurisdictions, such as the EU, are already preparing lists of pre-emptive retaliatory actions against the US, after fears they did not take such threats seriously enough from Trump last time.

It poses big questions for the UK too on where it should position itself if there is a transatlantic trade war. Pick a side, or try to be peacemaker?

German Chancellor Olaf Scholz congratulates Trump, and says his country will work with the Republican for "prosperity and freedom".

European Commission president Ursula von der Leyen writes: "I warmly congratulate Donald J. Trump."

"The future of the [South Korea]-U.S. alliance and America will shine brighter," South Korean President Yoon Suk Yeol posts online.

And Indian PM Narendra Modi calls Trump's win a "historic election victory", adding that he looks "forward to renewing our collaboration".

Shares and crypto up - but Trump 2.0 raises inflation fearspublished at 13:47 Greenwich Mean Time 6 November

13:47 GMT 6 November

Simon Jack
Business editor

Image source, EPA

Shares in US companies and the value of the dollar spiked upwards as Donald Trump swept to victory.

Promised tax cuts will pump money into the US economy while his threat to put tariffs on foreign exports are considered likely to push prices higher.

Higher inflation could mean the rate of expected interest rate cuts will slow and the cost of US government borrowing will rise.

The value of crypto-currency Bitcoin also soared to a new record while shares in American banks jumped on expectations that a Trump presidency will lead to further financial deregulation.

Companies that stand to benefit from tariffs on Chinese imports rose - including a 13% rise in shares of Elon Musk's Tesla electric car firm, while Chinese shares fell slightly.

The value of renewable energy companies slumped with shares in Danish wind power company Orsted down more than 10% on expectations Trump will roll back President Biden's climate initiatives.

Image source, Reuters

Canadian Prime Minister Justin Trudeau has congratulated Donald Trump on his election victory.

He writes on X:

Canada is America's northern neighbour and a close Nato ally. The US is also by far Ottawa's biggest trade partner.

Bernd Debusmann Jr
Reporting from Pennsylvania

Image source, BBC / Bernd Debusmann Jr

Good morning from Allentown, Pennsylvania - a majority Latino city that, like the rest of the state, has woken up to news of a Trump victory.

I spent last night here at a watch party organised by Republican House candidate Ryan Mackenzie - who appears to be on the cusp of winning as things stand - at a hotel bar in the city's downtown.

At the beginning of the party, attendees were cautious. Many predicted long, drawn out legal battles and recounts before a winner was certain, or at times, a stolen election from the Democrats.

That caution turned to joy as the night wore on and it became increasingly clear that Trump was doing well in the state. By midnight, people were dancing, chanting, and clinking beer bottles in toasts to Trump.

In the coming hours, days and weeks, election watchers will be pouring over data to see exactly how Trump's victory in Pennsylvania materialised.

But as the sun rises, one thing is clear: Trump's victory here was due, in no small part, to a spike in support from Pennsylvania's growing Latino population.

Exit poll from last night published by CNN, for example, put Trump's share of the Latino vote at 41% - a marked jump from the 27% he received from the demographic in 2020.

Donald Trump's win in Wisconsin was the victory that pushed him over the line, ensuring his return to the White House.

His win in the battleground state was by a mere 1% of the overall vote.

Kamala Harris needed to do well in the suburban areas around major cities like Milwaukee and Madison. And while voters did support her in high numbers in these areas, she did not manage to make the gains she needed.

Donald Trump's standing improved across many of the remaining counties.

His win was the result of subtle shifts across the state. Neither candidate changed the vote share by more than 5% in any county.

As we've been reporting, Donald Trump has won the US election, and will become the 47th president of the US.

Here's the moment our colleagues on the BBC News channel announced his historic comeback:

Image source, Reuters

Republican Tim Sheehy is projected to have won a Senate seat in Montana, defeating Democratic incumbent Jon Tester.

As a moderate running in a red state, Tester was seen as one of the most vulnerable Democrats at this election cycle.

The Republicans have already won a majority in the Senate, according to projections, but the US congress's other chamber, the House of Representatives, is yet to be called for either party.

Voters were presented with two versions of America - they chose Trump'spublished at 12:50 Greenwich Mean Time 6 November

12:50 GMT 6 November

Sarah Smith
North America editor

Image source, Reuters

Few people have a middle ground when it comes to Donald Trump. Most of the voters I spoke to during the course of this campaign said they wished he would "shut his potty mouth" - but they were able to look past it.

Instead, they focused on the question he asked at every rally. "Are you better off now than you were two years ago?"

So many people who voted for Trump told me that they felt the economy was much better when he was in office, and they were sick of trying to make ends meet. Although much of the cause of inflation was due to outside forces, such as the Covid-19 pandemic, they blamed the outgoing administration.

All over the country I heard people - on the left and right - complaining about billions of dollars being spent on supporting Ukraine when they thought that money would be much better spent at home. In the end, they just couldn’t vote for Harris, who served as Joe Biden’s vice-president for four years. They believed it would be more of the same, and they wanted change.

Ultimately, voters were presented with two versions of America. Trump told them that their country was a failing nation that only he could Make Great Again. Kamala Harris cautioned that if Trump was elected, American democracy itself would face an existential threat. That remains to be seen.

• Read Sarah's analysis in full

What about the states where abortion was on the ballot?published at 12:31 Greenwich Mean Time 6 November

12:31 GMT 6 November

By Rob England

In 10 US states - in addition to the presidential election - voters were also asked to decide on another key issue: abortion rights.

These areas are considering whether to introduce legal protections in their state’s constitution to guarantee a woman the right to have an abortion.

In Missouri, voters have chosen to adopt the legal protections. Similar results are declared in six other states, though not all votes have been counted.

South Dakota and Florida are projected to vote against adding to the constitution legal protections for abortion rights.

Voters in Nebraska - not included in the chart above - considered two competing measures on abortion. The one that enshrines the right to abortion up to 12 weeks in the constitution has passed.

Image source, Getty Images

If you're just joining us, or need a recap of the last few hours, here's what you need to know:

• Donald Trump has won a historic second term as president, defeating Kamala Harris
• A projected win in Wisconsin just over an hour ago pushed the Republican over the 270 electoral vote threshold required to win the presidency - and at a victory speech in Florida he said he had been given an "unprecedent and powerful mandate" by the American public

• Some of the issues Trump's campaigned hard on are those surrounding the economy - where he has promised to "end inflation and make America affordable again" - and immigration, where he says he will complete construction of the US-Mexico border wall which he promised last time around

• Results are still coming in and we're waiting on projections from three swing states - Nevada, Michigan and Arizona - plus Maine - a full breakdown of results can be viewed here

• Another key moment of the night came when the Senate was called for the Republicans, meaning the Democrats will lose their effective majority of just one in the upper chamber of the US Congress
• We're yet to hear from Harris, whose official watch party in Washington DC was deserted hours before the election was called in Trump's favour

How Trump intends to deal with two global conflicts is hard to predictpublished at 11:57 Greenwich Mean Time 6 November

11:57 GMT 6 November

Frank Gardner
Security correspondent

Donald Trump likes to say that he ends wars, but he is about to inherit two major conflicts that were not there when he was last in office: Russia’s full-scale invasion of Ukraine and Israel’s multi-front war in the Middle East.

Then there's North Korea, with its accelerated nuclear and ballistic missile programmes, and the looming possibility of a Chinese blockade of America’s ally, Taiwan.

How Trump 2.0 will deal with these problems is hard to predict, especially without the steadying hand of the cautious, highly experienced generals he had at his side during his previous presidency.

Strangely, that very unpredictability can sometimes be an advantage - it keeps your adversaries guessing.

Will it propel Putin towards a deal over Ukraine? Will it steer a wayward Kim Jong-Un back to the negotiating table? Will it deter Beijing from trying to take over Taiwan? Will it force Iran to rein in its militias to prevent a US-backed Israeli strike on its nuclear facilities?

Unpredictability, the byword of the last Trump presidency, is about to make a comeback.

Will Trump really 'drill, baby, drill'?published at 11:38 Greenwich Mean Time 6 November

11:38 GMT 6 November

Justin Rowlatt
Climate editor

That’s certainly what he’s promised to do, and he’s also vowed to roll back President Joe Biden’s multi-billion-dollar effort to turbocharge investment in green tech.

But Donald Trump's impact on climate action in the US may not quite live up to his bold words.

He’s likely to face resistance from some Republican lawmakers if he tries to choke off Biden’s climate cash because so much flows into their states.

He promised to defend the coal industry last time he was in the White House, but coal plants continued to close. Oil and gas is another matter. It has boomed under Biden - the US is now the biggest oil producer ever.

But don’t forget, Tesla founder Elon Musk played a major part in Trump’s campaign - perhaps why Trump recently said he’s "a big fan of solar power" - and many analysts say green technologies are now so cost effective, the low carbon transition will continue with or without Trump’s support.

Now we know Donald Trump has won and will be the next US president, let's remind ourselves where he stands on some key issues:

• The economy: Trump has promised to "end inflation and make America affordable again" - he says he'll do this by expanding US energy production and opening areas such as the Arctic wilderness to oil drilling to lower energy costs.
• Taxes: He's proposed a number of tax cuts worth trillions, including an extension of ones he enacted in 2017, which mostly helped the wealthy. Trump says that he will pay for cuts through higher growth and tariffs on imports.
• Immigration: Trump campaigned heavily on this issue, promising to seal the US's border by completing construction of the wall he promised to build between the US and Mexico during his last presidency. He's also said he'll enact the biggest mass deportation of undocumented migrants in US history.
• Climate: He previously rolled back hundreds of environmental protections, including limits on carbon dioxide emissions from power plants and vehicles, and protections for federal waterways. He's again vowing to cut regulations and has attacked electric vehicles, promising to overturn the Biden administration's bid to switch to cleaner cars.
• Abortion: Trump has struggled to find a consistent message on abortion, but suggested during his campaign that individual US states should decide its legality. Three Supreme Court judges he appointed while president were pivotal in the overturning of Roe v Wade - a ruling which had guaranteed women, nationwide, the right to an abortion up until the point of foetal viability.

With the latest - and crucial - projection from Wisconsin, plus Alaska, Donald Trump now has 279 electoral college votes.

In case you're not familiar with the US's voting system, each state or territory effectively runs its own election, and then send a designated number of electors - which is roughly based on its population size - to vote in what's called the electoral college.

Across 50 states, plus Washington DC, there are 538 votes up for grabs and the winner is the candidate that gets 270 or more.

Kamala Harris, meanwhile, has 223, having just won New Hampshire - that gave her another four votes.