But the Republicans picked up enough seats to reach the 218 majority needed to win the House, NBC projections show.
However, the Democrats’ fear of a “red wave” of victory was averted.
The expected surge of support towards the Republican Party, many of whose candidates were endorsed by Donald Trump, failed to materialise, and it leaves them with a razor-thin majority.
Republicans will now take control of key committees, giving them the ability to shape legislation and launch probes of Mr Biden, his family and his administration.
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There is particular interest in investigating the overseas business dealings of the president’s son, Hunter Biden. Some of the most conservative lawmakers have raised the prospect of impeaching Mr Biden, though that will be much harder for the party to accomplish with a tight majority.
Any legislation that emerges from the House could face steep odds in the Senate, where Democrats won the barest of majorities.
Both parties are looking to a 6 December Senate run-off in Georgia as a last chance to pad their ranks.
Mr Biden congratulated House Republican leader Kevin McCarthy on the party’s win and said he was ready to work with them “to deliver results for working families”.
He added: “In this election, voters spoke clearly about their concerns: the need to lower costs, protect the right to choose, and preserve our democracy.
“As I said last week, the future is too promising to be trapped in political warfare.
“The American people want us to get things done for them. They want us to focus on the issues that matter to them and on making their lives better. And I will work with anyone – Republican or Democrat – willing to work with me to deliver results for them.”
Mr McCarthy tweeted that Republicans had “flipped the People’s House”.
Still counting
The full scope of the party’s majority may not be clear for several more days – or weeks – as votes in competitive races are still being counted.
But they are on track to cobble together what could be the party’s narrowest majority of the 21st century, rivalling 2001, when Republicans had just a nine-seat majority, 221-212 with two independents.
Historically, the party in power almost always suffers losses in a president’s first midterms, and soaring inflation and concerns about the economy have been big factors in Mr Biden’s low approval ratings.
Donald Trump has criticised Vladimir Putin and suggested a shift in his stance towards the Russian president after a meeting with Volodymyr Zelenskyy before the Pope’s funeral.
The Ukrainian president said the one-on-one talks could prove to be “historic” after pictures showed him sitting opposite Mr Trump, around two feet apart, in the large marble hall inside St Peter’s Basilica.
The US president said he doubted his Russian counterpart’s willingness to end the war after leaving Rome after the funeral of Pope Francis at the Vatican.
In a post on his Truth Social platform, he said “there was no reason” for the Russian president “to be shooting missiles into civilian areas, cities and towns, over the last few days”.
Image: The two leaders held talks before attending the Pope’s funeral
He added: “It makes me think that maybe he doesn’t want to stop the war, he’s just tapping me along, and has to be dealt with differently, through ‘Banking’ or ‘Secondary Sanctions?’ Too many people are dying!!!”
The meeting between the US and Ukrainian leaders was their first face-to-face encounter since a very public row in the Oval Office in February.
Mr Zelenskyy said he had a good meeting with Mr Trump in which they talked about the defence of the Ukrainian people, a full and unconditional ceasefire, and a durable and lasting peace that would prevent the war restarting.
Other images released by the Ukrainian president’s office show Sir Keir Starmer and French President Emmanuel Macron were present for part of the talks, which were described as “positive” by the French presidency.
Mr Zelenskyy‘s spokesman said the meeting lasted for around 15 minutes and he and Mr Trump had agreed to hold further discussions later on Saturday.
Image: The world leaders shared a moment before the service
Image: Donald Trump and Volodymyr Zelenskyy meet in the Basilica
But the US president left Rome for Washington on Air Force One soon after the funeral without any other talks having taken place.
The Ukrainian president’s office said there was no second meeting in Rome because of the tight schedule of both leaders, although he had separate discussions with Mr Starmer and Mr Macron.
The French president said in a post on X “Ukraine is ready for an unconditional ceasefire” and that a so-called coalition of the willing, led by the UK and France, would continue working to achieve a lasting peace.
There was applause from some of the other world leaders in attendance at the Vatican when Mr Zelenskyy walked out of St Peter’s Basilica after stopping in front of the pontiff’s coffin to pay his respects.
Image: Donald Trump and the Ukrainian president met for the first time since their Oval Office row. Pic: Reuters
Sir Tony Brenton, the former British ambassador to Russia, said the event presents diplomatic opportunities, including the “biggest possible meeting” between Mr Trump and the Ukrainian leader.
He told Sky News it could mark “an important step” in starting the peace process between Russia and Ukraine.
Professor Father Francesco Giordano told Sky News the meeting is being called “Pope Francis’s miracle” by members of the clergy, adding: “There’s so many things that happened today – it was just overwhelming.”
The bilateral meeting comes after Mr Trump’s peace negotiator Steve Witkoff held talks with Mr Putin at the Kremlin.
They discussed “the possibility of resuming direct negotiations between Russia and Ukraine”, Kremlin aide Yuri Ushakov said.
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On an extraordinary day, remarkable pictures on the margins that capture what may be a turning point for the world.
In a corner of St Peter’s Basilica before the funeral of Pope Francis, the leaders of America and Ukraine sit facing each other in two solitary chairs.
They look like confessor and sinner except we cannot tell which one is which.
In another, the Ukrainian president seems to be remonstrating with the US president. This is their first encounter since their infamous bust-up in the Oval Office.
Image: The two leaders held talks before attending the Pope’s funeral
Other pictures show the moment their French and British counterparts introduced the two men. There is a palpable sense of nervousness in the way the leaders engage.
We do not know what the two presidents said in their brief meeting.
But in the mind of the Ukrainian leader will be the knowledge President Trump has this week said America will reward Russia for its unprovoked brutal invasion of his country, under any peace deal.
Mr Trump has presented Ukraine and Russia with a proposal and ultimatum so one-sided it could have been written in the Kremlin.
Kyiv must surrender the land Russia has taken by force, Crimea forever, the rest at least for now. And it must submit to an act of extortion, a proposed deal that would hand over half its mineral wealth effectively to America.
Image: The world leaders shared a moment before the service
Afterwards, Zelenskyy said it had been a good meeting that could turn out to be historic “if we reach results together”.
They had talked, he said, about the defence of Ukraine, a full and unconditional ceasefire and a durable and lasting peace that will prevent a war restarting.
The Trump peace proposal includes only unspecified security guarantees for Ukraine from countries that do not include the US. It rules out any membership of Ukraine.
Ukraine’s allies are watching closely to see if Mr Trump will apply any pressure on Vladimir Putin, let alone punish him for recent bloody attacks on Ukraine.
Or will he simply walk away if the proposal fails, blaming Ukrainian intransigence, however outrageously, before moving onto a rapprochement with Moscow.
If he does, America’s role as guarantor of international security will be seen effectively as over.
This could be the week we see the world order as we have known it since the end of the Second World War buried, as well as a pope.