UNITED NATIONS—President Donald Trump’s first address to the United Nations General Assembly on Tuesday will lay out a foreign policy rooted in his view of nationalism and sovereignty and anchored by “America First” principles, according to a senior White House official.

Mr. Trump will call for more burden sharing and cooperation among countries on issues including the fight on terrorism, North Korea’s nuclear and military threat, and Iran’s adherence to a multinational nuclear deal.

He will also mention reforms at the U.N. and the role countries play in enabling North Korea’s regime, though it wasn’t clear whether Mr. Trump will blame specific nations for keeping Pyongyang’s economy afloat despite global sanctions. He is expected also to address the crisis in Venezuela.

The address will combine the nationalistic theme of his campaign with an appeal to the nationalism of other countries as a new basis for international cooperation, the senior official said.

“It will be a foreign policy that is driven by outcomes, not by ideologies,” the official said. “What the president is doing is explaining how the principle of America First is not only consistent with the goal of international cooperation, but a rational basis for every country to engage in cooperation.”