President Trump Addresses United Nations General Assembly

President Donald Trump is asserting American sovereignty and rejecting "global governance, control and domination."

Trump said Tuesday at the U.N. General Assembly he honors the right of every nation to pursue its own customs, beliefs and traditions. He says the United States will never tell other nations how to live, work or worship.

But Trump says the United States expects other nations to "honor America's sovereignty in return."

Trump also brought up one of his most consistent positions throughout his campaign and administration -- that other countries have treated the U.S. unfairly, and the U.S. is fixing that.

"The United States will not be taken advantage of any longer," he told the audience.

Trump recently announced a tentative trade agreement with Mexico, and on Monday, signed a new United States-Korea Free Trade Agreement with South Korean President Moon Jae-In.

America, the president said, will never apologize for protecting its citizens. Trump said he has respect for Chinese President Xi Jinping, but China's practices cannot be tolerated. The U.S. and China have continued to spar over increasing tariffs.

Trump said that the U.S. will no longer tolerate unfair trade arrangements that allow countries to dump their products in America, subsidize their goods, target U.S. industries and manipulate currency to gain unfair advantages.

"The U.S. will not be taken advantage of any longer." Trump says those days are over and the U.S. will "no longer tolerate such abuse."

Trump went ahead Monday with a tax hike on $200 billion of Chinese imports. Beijing retaliated by imposing penalties on $60 billion of U.S. products.

Trump told leaders the American economy is "booming like never before" and his administration has accomplished more in less than two years than almost any other administration. His boast elicited laughter from the scores of heads of state and delegates in the audience for the speech.

Trump responded by saying, "I didn't expect that reaction, but that's OK."

Trump says the U.S. is a "stronger, safer and richer country" than when he took office in January 2017. He says "we are standing up for America and for the American people, and we are also standing up for the world."

Trump also said that he has no plans to meet this week with Iranian President Hassan Rouhani "despite requests."

But Rouhani also has ruled out meeting, telling NBC News on Monday conditions are not ripe for talks. The Iranian leader accuses the U.S. of adopting a hostile stance toward his country.

Trump withdrew the U.S. from a nuclear agreement between Iran and world powers and reinstated economic sanctions on Iran. Trump says in the tweet that "Maybe someday in the future" he and Rouhani will meet.

Trump says: "I am sure he is an absolutely lovely man!"

Meanwhile, the Trump administration has slapped financial sanctions on four members of Venezuelan President Nicolas Maduro's inner circle, including his wife and the nation's vice president on allegations of corruption.  

Those sanctioned Tuesday include First Lady Cilia Flores, Vice President Delcy Rodriguez, Communications Minister Jorge Rodriguez and Defense Minister Vladimir Padrino.

As part of the actions announced Tuesday, the Treasury Department also seized a $20 million private jet belonging to an alleged front man for powerful socialist party boss Diosdado Cabello.

The U.S. has sanctioned dozens of top officials including Maduro himself as part of a campaign to force him from power. 

(The Associated Press, CBS News contributed to this report.)

Remarks by President Trump to the 73rd Session of the United Nations...