During the press conference, Trump announced that Poland would continue to support the USA troops stationed in the country.
When Mr. Trump and Duda met in September, the leaders brought up the possibility of permanent US military bases in Poland, something Duda believes would help deter Russian influence in the region.
Trump also praised Poland's commitment to North Atlantic Treaty Organisation, singling it out for meeting spending aims, unlike Germany, whom he also singled out. "No additional troops in Europe", he said.
Trump spoke of the "unbreakable bonds" between the two countries, which, he said, were bound by "deep common values" and "shared goals".
While many mocked the awkward situation, some social media users noted that this was a good sign, demonstrating that there really was a special connection between the leaders of the two states.
Despite their strong show of unity, Trump disagreed with Duda's attempt to force the retirement of some Polish Supreme Court judges, a decision past year that prompted protests.More news: Canada to ban single-use plastic by 2021
"It is not one single unit". US drones as well as special operations forces already operate in Poland. We're talking about logistics components.
The United States also will set up a division headquarters in Poland, according to the website. "So there is a multitude of forums in which the United States is going to be gradually ever more present in our territory from the military standpoint".
Speaking to reporters, Mr Duda thanked Mr Trump for his "extreme kindness towards Poland and flawless understanding of Polish matters".
"This would be a statement that the USA is making", Trump said.
Poland requested a US troop increase in September, when Duda and Trump met in Washington.
Senior administration officials said the move would be in compliance with the NATO-Russia Founding Act, which guides relations between NATO and Russia.More news: Isro gears up for ‘most complex’ moon mission
Located deep in what used to be Soviet-dominated eastern Europe, Poland is a member of North Atlantic Treaty Organisation but has long wanted deeper U.S. commitment.
Mr Trump said the troops could come from USA forces in Germany but avoiding directly criticising Vladimir Putin with the two set to meet in Japan in two weeks.
The U.S.is also helping to construct a missile defense base in Poland, which aims to defend U.S. and European allies from a "rogue" missile threat, namely Iran.
"I congratulate you on that (purchase)", Trump told Duda.
"Poland is going to build a phenomenal facility in a lovely location", Trump said at the White House. Instead, he announced that Poland will buy more liquified natural gas from the USA and will cooperate with the US on nuclear technology.More news: Horrifying footage shows helicopter moments before it crashes into NYC skyscraper