Speaking to reporters outside the US Capitol after her meeting with the president, Ms Machado said she gave the medal to Trump.
She told Sky's US correspondent James Matthews that it was in "recognition for his unique commitment with our freedom".
Mr Trump, who has long coveted a Nobel Peace Prize, accepted the medal, according to a White House official, who briefed NBC News, Sky's US partner, calling it a "wonderful gesture of mutual respect".
In a post on Truth Social, his own social network, the president wrote: "She is a wonderful woman who has been through so much.
"María presented me with her Nobel Peace Prize for the work I have done. Such a wonderful gesture of mutual respect. Thank you María!"
The decision to award the prize to Ms Machado went down badly with the US president after it was revealed last year.
White House director of communications Steven Cheung commented then that "the Nobel committee proved they place politics over peace".
After accepting the prize, Ms Machado was quick to praise the US president, dedicating it to the people of Venezuela and Mr Trump for his "decisive support".
She subsequently told Fox News she wanted to "give it to him and share it with him", which Mr Trump said would be "a great honour".
But the committee that awards the prize has been unambiguous in shooting down her suggestion.
"A Nobel Prize can neither be revoked, shared, nor transferred to others," the committee said in a statement.
"Once the announcement has been made, the decision stands for all time."
Ahead of the meeting at the White House, there was speculation that Ms Machado might hand over the prize.
The Nobel committee appeared to address the speculation again on Thursday morning, offering two previous examples of the medal changing hands.
"A medal can change owners, but the title of a Nobel Peace Prize laureate cannot," the committee added in the post on X.
Speaking on The World with Yalda Hakim, Matthews said Ms Machado was "trying to push all the buttons" of the president.
"She said she gave him the Nobel Peace Prize, quite what he's done with that, we didn't get the answer to that," he said.
"She's certainly trying to push all the buttons with the American president, trying to make sure that he's got the Venezuelan politics in mind beyond access to Venezuelan oil reserves."
For his part, the US president has been lukewarm on Ms Machado since losing out on the prize.
After US forces captured Venezuelan president Nicolas Maduro in a raid on Caracas earlier this month, Mr Trump backed the country's vice president, Delcy Rodríguez, to succeed him.
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Ms Machado, he said, was "not respected" enough to lead the country.
Prior to the meeting, White House press secretary Karoline Leavitt defended the president's assessment, saying it was "based on realities on the ground".
"At this moment in time, his opinion on that matter has not changed," she said.
She also said Venezuela's new leadership had been "extremely cooperative" and "we'll expect that cooperation to continue".
Whether Ms Machado's medal will move the needle in her favour remains unclear, but Mr Trump did not address her gesture in a press conference after their meeting.
Earlier in the day, the US seized another sanctioned tanker, the Veronica, this time in the Caribbean, in an operation confirmed by the US military's Southern Command.
The ex-Conservative leadership hopeful was dramatically ousted as shadow justice secretary and suspended from the Tory party on Thursday morning.
Politics latest: Jenrick reveals why he defected
There was instant speculation Mr Jenrick was defecting to Reform, but he remained quiet until moments before a Thursday afternoon Nigel Farage news conference, just posting on X: "It's time for the truth."
Mr Farage then announced Mr Jenrick was defecting to Reform, although he said he did not know that was going to happen hours before, as he thanked Ms Badenoch for speeding up his defection.
He welcomed Mr Jenrick to the stage, however, he did not appear straight away, and there were a few awkward minutes before he did.
The newest former Tory MP member of Reform then launched a scathing attack on the Tories, saying they "don't have the stomach for the radical change this country needs".
He said both the Tories and Labour "broke Britain" and have no senior members with "the competence or the backbone needed to fix it".
Conservatives 'failed so badly'
Now Reform's seventh MP, he hit out at several Conservatives by name, saying his efforts as a Tory minister were "let down" by Boris Johnson and Rishi Sunak.
"I can't - in good conscience - stick with a party that's failed so badly. That isn't sorry and hasn't changed," he said.
Mr Jenrick, who said he first reached out to Mr Farage in September, said he did not intend to call a by-election in his Newham constituency and said Reform's leader is the only person who should be prime minister at the next election.
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Jenrick promised he wasn't defecting
Just moments before Mr Jenrick announced his defection, Ms Badenoch told Sky News political editor Beth Rigby many Tory and Reform people had been telling her Mr Jenrick was about to defect, but she "believed him when he said he wasn't going to" just a few days before.
However, she was shown "very clear evidence" in the form of a defection speech he was going to give.
"I think Reform needs to be looking at what kind of person it is they're taking in: someone who's very happy to hurt his colleagues," she added.
How Farage was convinced
Mr Farage admitted he had doubts about Mr Jenrick's political journey, from centrist Tory remainer to staunchly anti-immigration, but he was convinced over the summer that he had been "on a genuine journey, is viewing the country very differently".
He said Mr Jenrick will be "joining our front line team" and thinks he will "bring a lot more people and voters to us".
Mr Farage revealed they had been in "advanced talks" about Mr Jenrick joining Reform, but it had not been planned for Thursday, or even this week or month.
No more defections after 7 May
Mr Jenrick said he did not know he was going to leave the Tories when he woke up on Thursday, but was resolved he would at some point, and said he can now get on with helping Mr Farage sooner.
The MP is the second senior Conservative to have defected to Reform this week, after ex-chancellor Nadhim Zahawi moved over on Monday.
Mr Farage said potential defectors have until the local elections on 7 May to switch to Reform.
"Don't think you're joining us on the back of a massive success on May 7th," he said.
Demonstrations have persisted against Immigration and Customs Enforcement (ICE) in the US city, a week after an agent fatally shot a woman.
Protesters were angered by another incident on Wednesday in Minneapolis, when a federal officer shot a man in the leg after being attacked with a shovel and broom handle.
Sky's Martha Kelner said clashes happened outside Bishop Henry Whipple Federal Building, a local branch of the US Department of Homeland Security, which ICE is part of.
Kelner began by describing the scene: "The police officers... trying to establish a bigger perimeter outside the federal building... you can hear some flash bangs going off... there's tear gas too, and people panicking trying to get away from the tear gas.
"They're firing tear gas... a massive load of tear gas coming out... [coughs]."
At that point, we see a cloud of tear gas pass the camera and Kelner, her nose and mouth covered by a mask, is unable to speak and continues to cough. She eventually manages to recover.
"Apologies... that tear gas really, really catching in the throats of everyone here. We're going to move now and get the proper gas masks on."
In the background, people can be heard coughing and struggling to compose themselves.
"As you can see, a scene of utter, utter chaos here. People protesting, police pushing back and using these crowd disbursement techniques to do so."
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There are roughly 3,000 federal agents on the ground in the Minneapolis area making immigration arrests, a federal law enforcement official told Sky's US partner NBC News.
It includes more than 2,000 ICE officers and agents, hundreds of Border Patrol agents and some from Justice Department agencies.
Meanwhile, Minnesota Governor Tim Walz made a direct appeal to Donald Trump in a post on X.
"Let's turn the temperature down. Stop this campaign of retribution. This is not who we are," he wrote.
His plea came after the president threatened to invoke the Insurrection Act, which gives him authority to deploy the military domestically without prior congressional approval.
Motorbikes whiz back and forth in the street in front of his gate with a trained curiosity before a large riot truck full of masked police officers fills the narrow road.
The relentless monitoring gives way to calm as we enter his high-walled home.
I walked down the same garden path with him in 2018 when Wine was starting to shift the fanbase he built as a musician into explosive political popularity as a member of parliament, voicing opposition to President Museveni and the ruling party.
Even then, the government was quick to crack down on his young, growing support base in the protests he led against a social media tax imposed by the government.
What has changed since then?
"What has changed is that it has gone from bad to worse. There is more impunity. There is more violence every day as people are being abducted and they go missing. Some have been missing for years," he responds.
The crackdown intensified in the lead up to Uganda's 2021 election when at least 54 people were killed and hundreds were disappeared by the security forces.
Now, Wine's National Unity Party says that 300 of their supporters and party officials have been detained in the weeks building up to this election as he runs against Uganda's long-time ruler President Yoweri Museveni for the second time.
As we speak in Wine's garden, the military is fully deployed to the streets of Kampala, there is a total internet blackout and the permits of at least nine local human rights organisations have been suspended - all while Ugandans vote for who they want to see govern the country for the next five years.
"Even my deputy president in charge of western Uganda has been picked up, and I'm told she's being detained in a military barracks - so it is crazy what is happening," Wine says.
"This is supposed to be an election, but besides switching off the internet, our agents are being picked by security to ensure that the election happens in the dark."
President Museveni denies long-time allegations of election rigging and told me that it is the opposition that rigs the election.
"They try but they can't overturn us. We are too popular," he says.
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At President Museveni's last rally in Kampala, thousands of people wearing his face on bright yellow T-shirts filled the Kololo airstrip, where he was inaugurated after his first presidential election win in 1996.
Foreign media are barred from filming inside the rally, but through the bars, a young man holding up a foam finger turns it into a thumbs down and yells "Bobi!" to us.
In the narrow road by the airstrip, a man faithfully wipes the face of President Museveni clean on a large billboard before moving on to polish the face of his son, General Muhoozi, the current chief of the Ugandan People's Defence Force (UPDF).
If the opposition can't beat President Museveni's loyal following, then why target Wine so aggressively?
"Bobi Wine breaks the law, that is why. There are other people in opposition - you don't find us having problems with them. But if you take each case, you find that he is breaking the law," the president says.
"He says I break the law, but I'm not arrested. Why am I not arrested and charged?" Wine replies.
"If I break the law, the only law that I break is to stand and challenge a 40-year-old dictatorship."
Alexander Cashford, 49, died in Leysdown-on-Sea on the Isle of Sheppey after being chased by three teenagers, a trial has heard.
The 16-year-old boy denies murder but on Thursday pleaded guilty to a secondary charge of manslaughter.
Another boy, 15, and a 16-year-old girl, who are related, also deny murder. They pleaded not guilty to manslaughter
The jury previously heard Mr Cashford had gone to visit the girl on 10 August last year after meeting her by chance in a amusement arcade two days before.
He claimed to be 30 years old and exchanged around 75 messages with the trio under the belief he was texting "Sienna" - a fake name.
Woolwich Crown Court was told he had asked if she liked champagne and said he wanted to kiss her before they met.
Jurors heard the messages he received from "Sienna" suggested they meet at the empty home of her parents and told Mr Cashford to bring alcohol.
The two boys allegedly followed the pair for some distance along the promenade before launching the attack in the Kent town.
Video of Mr Cashford being chased and falling over was also played to the jury when prosecutors opened their case on Wednesday.
Allegedly found on the 16-year-old boy's phone and filmed by the girl, a voice is heard shouting "f****** paedophile, I'm f****** 16" and "Get him".
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The clip showed Mr Cashford being hit over the head with a glass bottle as he scrambled to get away,
The jury also heard witnesses had described the 16-year-old boy throwing rocks at his "already seemingly lifeless body and head".
Prosecutors said he later shared the video with others alongside the caption "f***** pedo (sic) up lol".
A post-mortem examination found Mr Cashford had facial and head injuries, bruises on his limbs and body, and fractured ribs that punctured his lung.
The trial continues.