The meeting will take place on Thursday March 30th, the PM's office confirmed in a press statement.
“The United States has for decades been a guarantee for peace, freedom and security in our part of the world. Different presidents have all valued our friendship and cooperation across the Atlantic highly. This meeting confirms that Denmark and the United States remain close allies.
I look forward to discussing with the President how we may maintain and develop the good relationship between our two countries,” says Rasmussen in the press statement.
Rasmussen congratulated Trump on his victory in the American general election in November and spoke with the then-president elect by telephone shortly after, but this will be the first time the two have met personally.
The coalition government's foreign minister Anders Samuelsen spoke out against Trump's executive order suspending the entry of foreign nationals from seven Muslim countries in January.
But Rasmussen's meeting with Trump is likely to focus on areas of common interest, according to the PM's statement.
“The United States is the world's largest economy. Last year, the value of Denmark's export to America was around 120 billion kroner ($17.4 billion). We have a strong economic partnership, and that's another reason why partnership with the United States is important for Denmark,” Rasmussen said.
Trump has already met with other European leaders, including British prime minister Theresa May and German chancellor Angela Merkel.
The Danish PM will also meet with senior members of congress and will also visit Mexico and the United States Virgin Islands - a former Danish colony - as part of his trip.