In announcing the raid, Mr. Trump put himself in the center of the action, describing himself as personally hunting Mr. al-Baghdadi since the early days of his administration. He said he monitored the action on Saturday with Mr. Esper; Vice President Mike Pence; Gen. Mark A. Milley, the chairman of the Joint Chiefs of Staff; and others through a live feed in the Situation Room “as though you were watching a movie.”
Unlike previous presidents announcing such operations, Mr. Trump ended his national address by taking questions from reporters. He made a point of thanking Russia, Turkey, Syria and Iraq for their cooperation and said Kurdish forces provided “information that turned out to be helpful.”
By contrast, he described America’s traditional European allies as “a tremendous disappointment,” repeating his complaint that they have not agreed to take captured Islamic State fighters who originated from their countries.
Officials later disputed the president’s assertion that Russia gave permission to cross airspace that its forces control. An American official who also asked not to be named said Russia was simply informed that the aircraft would be flying through the airspace and that it was “ridiculous” for the president to say permission was requested.
For its part, the Russian government denied giving any permission and suggested the entire operation may have been made up. The “contradictory details” of the account “raise legitimate questions and doubts about its reality and all the more its success,” a Defense Ministry spokesman told Russian news media.
In announcing the raid, Mr. Trump cited victims of the Islamic State by name, and afterward he called the families of four Americans kidnapped and killed. Three of them, including journalist James Foley, were beheaded in gruesome propaganda videos. A fourth, Kayla Mueller, was killed under murky circumstances. Diane Foley, the mother of James Foley, said she urged the president to bring two captives suspected of abducting and torturing her son to the United States to face prosecution in federal court.
The raid could help Mr. Trump with at least some hawkish Republican lawmakers who had broken with him over his Syria pullback decision.
Mr. Trump invited Senator Lindsey Graham, Republican of South Carolina, usually a strong ally who had been the most outspoken critic of his Syria decision, to join him for the speech on Sunday morning and then sent Mr. Graham to brief reporters from the lectern in the White House briefing room, an unusual spectacle for a lawmaker.
Mr. Graham called the raid “a game changer in the war on terror,” while adding that “the war is by no means over.” He said Mr. Trump had reassured him on his concerns. “The president’s determination over time has paid off,” Mr. Graham said. “We don’t give him enough credit for destroying the caliphate.”
He added: “This is a moment when President Trump’s worst critics should say, ‘Well done, Mr. President.’”
Democrats were not quick to take the advice. Former Vice President Joseph R. Biden Jr., Senator Chuck Schumer of New York, the Democratic leader, and other Democrats released statements praising the military and intelligence officials involved in the raid without mentioning Mr. Trump.
Ms. Pelosi said the president was wrong to keep congressional leaders in the dark. “The House must be briefed on this raid, which the Russians but not top congressional leadership were notified of in advance, and on the administration’s overall strategy in the region,” she said in a statement.
Representative Adam B. Schiff, Democrat of California and the chairman of the House Intelligence Committee who is leading the impeachment inquiry, said “good riddance” to “a bloodthirsty killer,” calling the raid “an important victory.” But he said the success of the raid did not absolve Mr. Trump of the decision to abandon the Kurds by pulling out.
“It’s a disastrous mistake to betray the Kurds this way,” he said. “I think it just improves the Russian position in the Middle East, something they desperately want.”
Reporting was contributed by Rukmini Callimachi from Romania, Maggie Haberman from New York and Edward Wong, Nicholas Fandos, Adam Goldman and Chris Cameron from Washington.