The operation over global waters showed the seriousness with which Washington took North Korea's "reckless behaviour", it said.
The Pentagon flew its Air Force B-1B Lancer strategic bombers Saturday east of North Korea, near the demilitarized zone, demonstrating U.S. President Donald Trump's resolve.
The Pentagon said the B-1B bombers came from Guam and their U.S. Air Force F-15C Eagle fighter escorts came from Okinawa, Japan.
Defense Department spokesman Dana White says in a statement that the mission shows how seriously the US takes what he calls North Korea's "reckless behavior".
North Korea's Foreign Minister said on Saturday that United States President Donald Trump's vow to "totally destroy" the country if necessary had made "our rockets' visit to the entire USA mainland all the more inevitable".
"We are prepared to use the full range of military capabilities to defend the U.S. homeland and our allies", Ms White said.
Kim lashed back at Trump in a rare personal statement Thursday, calling Trump "a mentally deranged US dotard" and a "gangster" who had to be tamed "with fire".
The United States regularly carries out aerial demonstrations using its bombers and fighters to signal resolve to North Korea.
He tweeted, "Just heard Foreign Minister of North Korea speak at UN If he echoes thoughts of Little Rocket Man, they won't be around much longer!"
The flight of USA warplanes off the North Korean coast followed a 3.4 quake registered in the country on Saturday, which prompted fears of a new nuclear test. Some analysts said the North may have the means to fire off a missile that can reach the U.S. mainland, although whether it can be armed with a nuclear warhead that can detonate on its target has never been proven.
Kim's foreign minister told reporters this week that the North's response to Trump "could be the most powerful detonation of an H-bomb in the Pacific".
He added, "I'm going to handle it because we have to handle it", warning of North Korea's threats of "a massive weapon exploding over...the Pacific Ocean, which causes tremendous, tremendous calamity".
Ri Yong Ho called the U.S. leader "a mentally deranged person full of megalomania and complacency" with his finger on the "nuclear button" and declared: "None other than Trump himself is on a suicide mission".
Trump continued the heated exchange with the North Koreans Saturday night.
North Korea's state media issued a statement Saturday from the National Peace Committee of Korea describing Trump as "wicked" and "a rabid dog".
President Donald Trump is attempting to send a message to North Korea's leader, Kim Jong Un, that America has a strong military force, and it will take action if threats continue, according to the Associated Press.
But on the fringes of the United Nations meeting this week, Ri upped the tensions further, telling reporters Pyongyang might now consider detonating a hydrogen bomb outside its territory. That's in addition to cyberwarfare capabilities, a biological weapons research program and a chemical weapons stockpile.
North Korean Foreign Minister Ri Yong-ho took things further.