The official said the speech will operate as the third in a line of major foreign policy addresses for Trump, including his speech to Muslim leaders in Saudi Arabia in May and his remarks to the people of Poland in July.
We'll also talk about the politicization of award shows after last night's 69th Emmys and how the Trump administration is responding to California's new "sanctuary state" law.
The United Nations is expected to be preoccupied with Pyongyang during much of the week.
Trump planned Monday to address a US -sponsored event on reforming the 193-member world body.
The United States pays 22 percent of the UN's $5.4 billion core budget and 28.5 percent of the $7.3 billion peacekeeping budget.
He said the cost of running the United Nations should be shared out proportionately among member states - referring to the US' covering a whopping 28.5 percent of the body's overall peacekeeping bill.
In an interview with CNN on Sunday, US Ambassador to the UN Nikki Haley hailed the direction the world body has taken in recent weeks, citing a decline in "Israel bashing" and new sanctions against North Korea.
Trump's speech Tuesday morning will be his first to the 193-member UN General Assembly, and the president will attempt to strike a tone of optimism and "principled realism", according to a senior White House official who previewed the speech to reporters on Monday. "That's what America wants", said Senator Dick Durbin, (D) IL.
Ms Bishop is scheduled to hold bilateral meetings on Monday with Japanese Foreign Minister Taro Kono, Swiss Foreign Minister Didier Burkhalter and Israeli Foreign Affairs Minister Yuval Rotem.