While he failed to discuss North Korea or Iran or the Paris climate change deal, the White House later revealed Mr Trump had a phone conversation with Chinese Premier Xi Xinping, who, it said, was "committed to maximising pressure on North Korea through vigorous enforcement of UN Security Council resolutions".
President Donald Trump's debut address Tuesday morning before the United Nations General Assembly will stress the need for sovereignty in securing peace amid the threats posed by North Korea and others, the White House said.
The statement from the White House said the USA organised its participation in this year's General Assembly around three themes: Promote Peace; Promote Prosperity; and, Uphold Sovereignty and Accountability.
All eyes are on President Donald Trump this week as he prepares to address his first meeting of the United Nations General Assembly.
The UN reforms will focus on ensuring that other countries take a more equitable burden to ensure worldwide security, to demand greater accountability of UN officials, and to reduce the budget by eliminating duplication.
All eyes will be on the US President on Tuesday as he makes his first address to United Nations delegates, particularly after a turbulent few months in which the nuclear threat from North Korea has increased significantly.
For his part, Trump said he is looking forward to his visit to China, hoping that the trip can strongly move bilateral ties forward.
"This is an issue between the world and North Korea", Trump's national security adviser, H.R. McMaster, said on Friday.
His fellow leaders here at the annual gathering here of more than 150 delegations are listening for signs of how closely Trump will align himself with the U.N.in the face of a series of worldwide challenges, including North Korea, Syria and Iran.
The US president has not ruled out a military option, which could leave millions of people in the South Korean capital - and 28,500 US soldiers stationed in the South - vulnerable to potential retaliatory attack.
In his budget proposal earlier this year, he threatened to slash roughly $US1 billion from the peacekeeping fund, which Guterres said would make the UN's work impossible.
Guterres said he was asked recently what kept him up at night and he had responded "bureaucracy".