“Will only the U.S. have option called ‘preventive war’ as is claimed by it?” the Strategic Force of the North’s Korean People’s Army, or K.P.A., said in a statement. “It is a daydream for the U.S. to think that its mainland is an invulnerable Heavenly kingdom.”
“The U.S. should clearly face up to the fact that the ballistic rockets of the Strategic Force of the K.P.A. are now on constant standby, facing the Pacific Ocean and pay deep attention to their azimuth angle for launch,” the statement said.
Mr. Trump’s stark comments went well beyond the firm but measured language typically preferred by American presidents in confronting North Korea, and indeed seemed almost to echo the bellicose words used by Mr. Kim. Whether it was mainly a bluff or an authentic expression of intent, it instantly scrambled the diplomatic equation in one of the world’s most perilous regions.
Supporters suggested Mr. Trump was trying to get Mr. Kim’s attention in a way that the North Korean would understand, while critics expressed concern that the American president could stumble into a war with devastating consequences.
“This is a more dangerous moment than faced by Trump’s predecessors,” said Mark Dubowitz, chief executive of the Foundation for Defense of Democracies, a nonprofit group in Washington. “The normal nuanced diplomatic rhetoric coming out of Washington hasn’t worked in persuading the Kim regime of American resolve. This language underscores that the most powerful country in the world has its own escalatory and retaliatory options.”
But Senator Dianne Feinstein, Democrat of California, said it would be counterproductive. “President Trump is not helping the situation with his bombastic comments,” she said in a statement. Senator John McCain, Republican of Arizona and chairman of the Armed Services Committee, also took exception. “All it’s going to do is bring us closer to some kind of serious confrontation,” he told KTAR News radio.
North Korea has accelerated its progress toward a working nuclear-tipped missile force since Mr. Trump, who has vowed not to let that happen, took office. Last month, the North successfully tested for the first time an intercontinental ballistic missile that could reach the continental United States.
The Washington Post reported on Tuesday that American intelligence agencies have concluded that North Korea has miniaturized a warhead that could fit on top of one of its missiles. The Japanese government also said in an annual threat assessment on Tuesday that “it is possible that North Korea has already achieved the miniaturization of nuclear weapons and has acquired nuclear warheads.”
But experts said the main problem for North Korea is not miniaturization; the bombs are already judged small enough to fit on a ballistic missile, as a famous picture of Mr. Kim with a warhead seemed to make clear. The real test is whether a warhead can survive the intense heat of re-entry as it plunges through the atmosphere from space, a hurdle North Korea is not believed to have overcome.
The United Nations Security Council unanimously adopted a new sanctions resolution against North Korea over the weekend, the eighth since the country conducted its first nuclear test in 2006. Backers of the resolution said the new sanctions would cut North Korea’s meager annual export revenue by about a third, impeding its ability to raise cash for its weapons programs.
The sanctions ban the import of coal, iron, iron ore, lead, lead ore and seafood from North Korea. They also prohibit United Nations member nations from hosting any additional workers from the North above their current levels. Washington called the restrictions “the most stringent set of sanctions on any country in a generation.”
Even before Mr. Trump’s comments, North Korea’s militant response to the sanctions on Tuesday was the strongest indication yet that it could conduct another nuclear or missile test, as it has often done in response to past United Nations sanctions.
“Packs of wolves are coming in attack to strangle a nation,” the North Korean statement said. “They should be mindful that the D.P.R.K.’s strategic steps accompanied by physical action will be taken mercilessly with the mobilization of all its national strength,” it added, using the initials for the Democratic People’s Republic of Korea.
Mr. Trump’s “fire and fury” response echoed the kind of language the North Koreans themselves have used in the past. In the last few years, North Korean officials and the government news agency have repeatedly warned the United States and South Korea against any pre-emptive attack, with “sea of fire” a favorite phrase.
At one point, North Korea vowed that “everything will be reduced to ashes and flames the moment the first attack is unleashed”; at another, it vowed to “turn Washington, the stronghold of American imperialists and the nest of evil, and its followers, into a sea of fire.”
This week, after the United Nations vote, North Korea’s state-run Rodong Sinmun newspaper said, “The day the United States dares tease our nation with a nuclear weapon and sanctions, the mainland United States will be catapulted into an unimaginable sea of fire.”
While Mr. Trump’s statement was among the most militant a president has made about North Korea, it may have been aimed as much at Beijing as Pyongyang. By discussing military options, the administration may be trying to convince China and its president, Xi Jinping, that the status quo is dangerous because it risks war.
“It may be a message to Xi Jinping, that you have to be doing more than just sanctions at the U.N.,” said Joseph S. Nye Jr., a Harvard scholar who once ran the American government’s National Intelligence Council. “It may be a very rational, thought-out message,” rather than an emotional outburst, he added.
But after so many warnings of a trade war with China and other belligerent statements, Mr. Trump’s threat will most likely be interpreted by Mr. Xi as “another thumping-the-table” exercise, said Shi Yinhong, a professor of international relations at Renmin University in Beijing.
“I guess Xi would not believe it as more than 30 to 40 percent true,” Mr. Shi said of the possibility that Mr. Trump would unleash a nuclear strike on North Korea.
While Secretary of State Rex W. Tillerson has kept the door open for talks with North Korea during his travels in the region, other administration officials have said Mr. Trump is being presented with options for war. “The president has been very clear about it,” Lt. Gen. H. R. McMaster, the national security adviser, said in an interview aired on MSNBC last weekend. “He said he’s not going to tolerate North Korea being able to threaten the United States.”
General McMaster added, however, that the administration would first explore “what can we do to make sure we exhaust our possibilities, and exhaust our other opportunities to accomplish this very clear objective of denuclearization of the peninsula short of war.”
In South Korea, some conservative politicians and analysts have called for the reintroduction of American tactical nuclear weapons to establish a “balance of terror” against the North. The United States withdrew nuclear weapons from the South in the early 1990s, but it occasionally sends nuclear-capable bombers and submarines in exercises.
But President Moon Jae-in on Monday warned against military action. “Above all, President Moon emphasized that South Korea can never accept a war erupting again on the Korean Peninsula,” his office said in a statement describing a 56-minute phone call with Mr. Trump. “He stressed that the North Korean nuclear issue must be resolved in a peaceful, diplomatic manner through a close coordination between South Korea and the United States.”