North Korea shows no sign of halting the country's nuclear and ballistic missile programs, and dealing with Pyongyang is expected to be a focus of this week's meetings.
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 president also meets separately Monday with the leaders of Israel and France, and hosts Latin American leaders for dinner.
But in keeping with his "America First" approach to foreign policy, Trump also exhorted the United Nations member states to evenly share the burden of supporting the organization.
"He'll be fine on the big stage at the U.N. General Assembly", he said.
"Everybody has been a bit anxious about you know, what President Trump might say", says Lynch. India s Permanent Representative to the UN Syed Akbaruddin on Saturday said India wants these reforms to be broad-based and all encompassing.
During remarks Monday in NY at an event on reform attended by representatives of 120 of the 193-member U.N., Trump told Guterres "you have been fantastic" in promoting reforms.
Trump adds that the United Nations.
US Ambassador to the UN Nikki Haley was a driving force behind a US$600 million (S$810 million) cut to the peacekeeping budget this year.
In a phone call the two men discussed "North Korea's continued defiance of the global community and its efforts to destabilize Northeast Asia", the White House said.