It means that most of the attention that would be focused on events at the General Assembly are instead focused on the UN's most powerful body, where the US currently holds the rotating presidency.
While the meeting of the council is addressing the issue of nonproliferation of nuclear, chemical and biological weapons, Mr Trump himself used te platform to attack Iran and accuse China - but not Russia - of meddling in 2018 midterm elections.
On Tuesday, during an unabashedly "America First" speech, Mr Trump said Iranian leaders "sow chaos, death and destruction" and "spread mayhem across the Middle East and far beyond." His national security adviser, John Bolton, also warned that there would be "hell to pay" if Tehran crossed the US, its allies or their partners.
Iranian President Hassan Rouhani responded by accusing the Mr Trump administration of violating the rules of international law and "state obligations" by withdrawing from the 2015 nuclear deal that Iran signed with the US and five other major powers.
Mr Rouhani is almost certain not to attend the Security Council meeting that will test Mr Trump's ability to maintain diplomatic decorum and interact with representatives of rival nations.
The council is populated by five permanent members -- the US, China, Russia, Britain and France -- and 10 other member states, who occupy a council seat for two-year terms. Iran is not among them.
Iran's President Hassan Rouhani is calling the US withdrawal from the Iran nuclear deal "a mistake" and says sooner or later the United States will support it again.
He told a news conference Wednesday that Iran doesn't want to go to war with the American forces anywhere in the Mideast, declaring: "We do not want to attack them. We do not wish to increase tensions."
Mr Rouhani said the US pullout from the 2015 nuclear agreement has isolated the US — not Iran.
Afghanistan's chief executive has told world leaders his country has "turned a page" toward peace in the last year, and he's calling for their help in getting to "a new phase free of violence" in a country riven by conflict since the 1970s.
Abdullah Abdullah pointed to developments including the Taliban's participation in a brief ceasefire in June.
He said Afghans "pose no danger to anyone" and seek to "play a constructive and collaborative role" regionally.
The UN envoy for Afghanistan recently said the country is in its best position since 2001 to start a process leading to peace talks with Taliban militants.
Still, attacks this year have underscored the difficulties Afghan forces have faced in combatting the Taliban and an Islamic State affiliate.
Liberia's President George Weah told the General Assembly earlier that Liberia will begin a series of national peace dialogues as to "not repeat the costly mistakes of the past".
"We must call out hate speech anti-Semitism, islamophobia and all forms of prejudice and discrimination against minorities wherever we find it," says Theresa May.
The Secretary-General of the United Nations on climate change:
"We still lack strong leadership to take the bold decisions needed to put our economies and societies on the path of low-carbon growth and climate-resilience".
Earlier, Bolivia's President Evo Morales, sharply criticised Donald Trump and accused the administration of meddling in Iran and Venezuela.
Mr Morales also charged that "the United States could not care less about human rights or justice", referencing family separations at the US-Mexico border.
Russian Foreign Minister Sergey Lavrov has warned that dismantling the Iran nuclear accord would "be counterproductive for the efforts underway now to denuclearize the Korean Peninsula".
Iran's Foreign Minister Mohammad Javad Zarif has called the reimposition of US sanctions following Donald Trump's decision to withdraw from the Iranian nuclear deal an act of "unprecdented vengence" at a side meeting at the UN General Assembly, the AP reports.
Mr Lavrov has criticised the UK, saying that Russia has offered to help investigate the nerve gas attack in Salisbury earlier this year, but that the UK government has refused.
The UK has found Russia to blame in its own investigation.
"If they do not want to cooperate, does this mean they have something to hide?" Mr Lavrov asked.
Mr Lavrov has criticized the United States frequently, and has said that "certain western countries" have accused Syria of using chemical weapons, but Mr Lavrov says that Syria destroyed their chemical weapons.
He continued to blame any use of chemical weapons use in Syria on "terrorist" groups, and insists that the Syrian government has not used such chemical weapons.
