"Today's demonstration provides just one example of the full range of military capabilities in the deep arsenal of this strong alliance to provide and strengthen extended deterrence".
U.S. B-1B strategic bombers fly over South Korea Tuesday.
Upon completion of the flight, the B-1Bs returned to Guam.
In January, the United States flew a B-52 Stratofortress strategic bomber over Osan Air Base after North Korea's fourth nuclear blast.
Such flyovers are fairly common when animosity rises on the Korean Peninsula, which is technically in a state of war because there has never been a peace treaty to officially end the 1950-53 Korean War.
"They had better stop their rash actions", it added.
The flight was a display of superior USA military might, proving Washington can destroy a strategic target whenever it wants - a threat to Pyongyang and a reassurance to Tokyo and Seoul.
Beijing's official People's Daily newspaper on Wednesday called the United States a troublemaker and said it has no right to lecture China about taking responsibility for reining in North Korea as tensions on the peninsula are a direct result of us actions.
The union of the United States and Eastern nations is proving to be ready for anything resulting beyond North Korea's fifth nuclear test.
On Friday, Pyongyang set off its most powerful nuclear blast to date, saying it had mastered the ability to mount a warhead on a ballistic missile, ratcheting up a threat that its rivals and the United Nations have been powerless to contain. The U.N. Security Council is strongly condemning North Korea's latest nuclear test.
(Stand-up) "South Korea's Foreign Minister leaves this week for NY, where diplomatic efforts will continue at the UN General Assembly". These aircraft are capable of carrying nuclear weapons on board, as well as anti-bunker bombs and guided GBU-38 bombs.
North Korean state television announced that the country had conducted a "high level" nuclear test explosion, hailing the scientists and engineers of the country's Worker's Party.
"North Korea's nuclear test is a risky escalation and poses an unacceptable threat", said Gen. Brooks.
North Korea has said the recent USA bomber flight over South Korea was no more than a "bluff" and a "laughing stock" for the whole world.
Later this weekend, US Secretary of State John Kerry will meet with his Japanese and South Korean counterparts in NY to discuss responses to North Korea's latest nuclear test.
DPRK is the acronym for North Korea's official name, the Democratic People's Republic of Korea.
North Korea's official KCNA news agency said public anger was "exploding like a volcano" following the flight by the American B-1B bombers yesterday.