It is Bolsonaro's first trip overseas for a bilateral meeting since taking office on January 1, after he attended the Davos summit in Switzerland in January.
During their first sit-down, President Trump and Brazil's new far-right leader, President Jair Bolsonaro, arranged to sign several bilateral agreements, including one that lets the United States use Brazil's Alcantara Aerospace Launch Base for satellites.
Bolsonaro, who has often expressed his admiration for the United States and Trump, said he was happy to visit Washington, particularly after decades of "anti-U.S." leaders in his country.
"We have to sort Venezuela out", Bolsonaro said.
"Brazil and the United States stand side-by-side in their efforts to ensure liberties and respect to traditional family lifestyles, respect to God, our creator, against the gender ideology or the politically correct attitudes and against 'fake news, '" Bolsonaro said.
"There was a lot of that going on during this news conference, but I think, Brooke, the thing that has to be noted, and we'd be remiss if we didn't note it, is that when the President of Brazil mentioned the term 'fake news, ' he got sort of a smile and a nod from President Trump".
"I admire President Donald Trump and we will certainly work toward" shared interests", Bolsonaro said Tuesday, adding that just as Trump "wants to have a great America", he wants to have "a great Brazil".
The two men have also both taken advice from Steve Bannon, the former White House senior adviser who broke with President Trump after leaving the White House in 2017.
Mr Bolsonaro will hold private talks in the Oval Office with Mr Trump before they appear at a joint press conference in the Rose Garden.
(Carolyn Kaster/AP) President Donald Trump and first lady Melania Trump walk leave after attending service at Saint John's Church in Washington, D.C., March 17, 2019.
In 2011, he said he'd rather see his own son die in a vehicle crash than learn that he was gay.
Looming over their discussion was the fact that China, now embroiled in a trade war with the United States, has eclipsed America in trade and investment with Brazil.
"I would be incapable of loving a homosexual son. I prefer that he die in an accident", he said.
Outside the White House Sunday afternoon, dozens of demonstrators gathered to protest the visit - holding signs including one that accused Bolsonaro of being a "murderer" over apparent links to suspects in the murder of rights activist Marielle Franco.
Trump did give his verbal support, however, to expanding Brazil's presence in major multinational organizations, like North Atlantic Treaty Organisation and the OECD.
Last September, a month before the elections in Brazil, Bolsonaro was stabbed during a campaign rally, losing 40 percent of his blood.
His government said they would remove all mentions of homosexuality, feminism and violence against women from these texts.
President Trump hinted that was in order on Tuesday.
Earlier today, the Guardian reported that Bolsonaro has endorsed Trump's immigration agenda and has said he supports a wall on the US-Mexico border.
Bolsonaro, who is a right-wing populist, praised Trump after he described past administrations as being "anti-U.S".
"The majority of potential immigrants do not have good intentions or do not intend to do the best or do good for the American people", said Bolsonaro, adding that he hoped the USA would uphold its current immigration policies. "They charge us whatever they want", he said in October.