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 / AFP PHOTO / HECTOR RETAMALHECTOR RETAMAL/AFP/Getty Images
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US Ambassador to the UN Nikki Haley speaks during UN Security Council meeting, at United Nations Headquarters in New York, on April 14, 2018. The UN Security Council on Saturday opened a meeting at Russia's request to discuss military strikes carried out by the United States, France and Britain on Syria in response to a suspected chemical weapons attack. Russia circulated a draft resolution calling for condemnation of the military action, but Britain's ambassador said the strikes were "both right and legal" to alleviate humanitarian suffering in Syria. / AFP PHOTO / HECTOR RETAMALHECTOR RETAMAL/AFP/Getty Images
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 / AFP PHOTO / HECTOR RETAMAL        (Photo credit should read HECTOR RETAMAL/AFP/Getty Images)
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US Ambassador to the UN Nikki Haley listens during a UN Security Council meeting, at the United Nations Headquarters in New York, on April 14, 2018. The UN Security Council on Saturday opened a meeting at Russia's request to discuss military strikes carried out by the United States, France and Britain on Syria in response to a suspected chemical weapons attack. Russia circulated a draft resolution calling for condemnation of the military action, but Britain's ambassador said the strikes were "both right and legal" to alleviate humanitarian suffering in Syria. / AFP PHOTO / HECTOR RETAMAL (Photo credit should read HECTOR RETAMAL/AFP/Getty Images)
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(CNN) —  

President Donald Trump on Tuesday said his daughter Ivanka Trump would be “incredible” as US ambassador to the United Nations but said he would be “accused of nepotism” if he appointed her to succeed the out-going Nikki Haley. She later said she would not be taking the position.

“I’ve heard a lot of names. I’ve heard Ivanka. How good would Ivanka be?” Trump said as he took questions from reporters on the South Lawn of the White House. “I think Ivanka would be incredible, but it doesn’t mean I’d pick her. Because I’d be accused of nepotism even though I’m not sure there’s anybody more competent in the world.”

Shortly after his comments, Ivanka Trump took herself out of the running for the ambassadorship, tweeting Tuesday evening that she knows “the President will nominate a formidable replacement for Ambassador Haley.”

“That replacement will not be me,” she said.

The President said he is considering “numerous people” including his former deputy national security adviser Dina Powell, whom he said “is under consideration.”

“We actually have many names,” Trump said.

Later in the gaggle, the President said his daughter would be “dynamite” as UN ambassador.

Trump told reporters earlier Tuesday that he expects to name a replacement for Haley in the next “two to three weeks,” and said that he would be talking about candidates with the former South Carolina governor and others. Haley will serve until the end of the year, he said.

“I can say many people want to do it and they want to do it,” Trump said.

CNN’s Nicole Gaouette and Maegan Vazquez contributed to this report.