US bombers and fighter escorts have flown to the farthest point north of the border between North and South Korea by any such American aircraft this century in a show of military might, the Pentagon has said.
The mission in international airspace was said to show how seriously President Donald Trump takes North Korea's "reckless behaviour".
Defence Department spokesman Dana White said in a statement:
"This mission is a demonstration of US resolve and a clear message that the president has many military options to defeat any threat.
"North Korea's weapons programme is a grave threat to the Asia-Pacific region and the entire international community. We are prepared to use the full range of military capabilities to defend the US homeland and our allies."
North Korea's leader, Kim Jong Un, has said Mr Trump would "pay dearly" for threatening to "totally destroy" North Korea if the US was forced to defend itself or its allies against a North Korean attack.
Kim's foreign minister told reporters this past week that the North's response to Mr Trump "could be the most powerful detonation of an H-bomb in the Pacific".
Mr Trump has said he will not allow it, although the US so far has not used military force to impede the North's progress.
The Pentagon said B-1B bombers from Guam, along with F-15C Eagle fighter escorts from Okinawa, Japan, flew in international airspace over waters east of North Korea on Saturday.
The US characterised the flights as extending farther north of the Demilitarised Zone (DMZ), than any US fighter or bomber had gone off the North Korean coast in the 21st century.
B-1 bombers are no longer part of the US nuclear force, but they are capable of dropping large numbers of conventional bombs.
US Pacific Command would not be more specific about many years it had been since US bombers and fighters had flown that far north of the DMZ, but a spokesman, Navy Commander Dave Benham, noted that this century "encompasses the period North Korea has been testing ballistic missiles and nuclear weapons".
At the United Nations, North Korea's foreign minister, Ri Yong Ho, said that his country's nuclear force is
"a war deterrent for putting an end to nuclear threat of the US and for preventing its military invasion, and our ultimate goal is to establish the balance of power with the US".
He also said that Mr Trump's depiction of Kim as "Rocket Man" makes "our rocket's visit to the entire US mainland inevitable all the more".
Mr Trump on Friday had renewed his rhetorical offensive against Kim.
"Kim Jong Un of North Korea, who is obviously a madman who doesn't mind starving or killing his people, will be tested like never before!" the president tweeted.
Mr Trump continued the heated exchange with the North Koreans on Saturday night.
He tweeted: "Just heard Foreign Minister of North Korea speak at U.N. If he echoes thoughts of Little Rocket Man, they won't be around much longer!"
On Thursday, Mr Trump announced more economic sanctions against the impoverished and isolated country, targeting foreign companies that deal with the North.
"North Korea's nuclear weapons and missile development is a grave threat to peace and security in our world and it is unacceptable that others financially support this criminal, rogue regime," Mr Trump said as he joined Japanese Prime Minister Shinzo Abe and South Korean President Moon Jae-in for a meeting in New York.
Hours later, Kim responded by saying Mr Trump was "deranged".
Cover: library picture of B-1B Lancer bombers flying over South Korea.