Trump called Kim a "madman" on Friday, a day after the North Korean leader dubbed him a "mentally deranged U.S. dotard" in retaliation for the United States president saying Washington would "totally destroy" the Asian country if it threatened the USA or its allies.
USA bombers have carried out similar flights before, as the United States and the global community struggle to rein in North Korea's weapons programs.
"We are prepared to use the full range of military capabilities to defend the U.S. homeland and our allies", she added.
A U.S. Air Force B-1B Lancer, assigned to the 37th Expeditionary Bomb Squadron, deployed from Ellsworth Air Force Base, South Dakota, prepares to take off from Andersen AFB, Guam, Sept. 23, 2017.
The US has warned that all options, including a military strike, are on the table over North Korea's nuclear and missile threats.
The flight follows a week of heated rhetoric between the leaders of both countries - after Mr Trump's comments, Mr Kim called him "mentally deranged" and "a dotard".
"This event occurred in the area of the previous North Korean Nuclear tests", the United States Geological Survey said on its web site.
India Seeks Deportation of Rohingya for Security Reasons
It said the plan to deport Rohingya refugees was a policy decision and the court should desist from interfering. It is completely within the executive policy how to deal with illegal migrants like Rohingya Muslims.
US President Donald Trump's insult, calling leader Kim Jong Un "rocket man", makes "our rocket's visit to the entire US mainland inevitable all the more", North Korea's foreign minister said. Dave Benham, noted that this century "encompasses the period North Korea has been testing ballistic missiles and nuclear weapons".
Trump on Friday had renewed his rhetorical offensive against Kim.
Trump continued the heated exchange with the North Koreans Saturday night.
On Thursday, Trump announced more economic sanctions against the impoverished and isolated country, targeting foreign companies that deal with the North.
Labor leader Bill Shorten will meet with South Korea's prime minister during a four-day trip which will also include security talks in Japan.
That led the North Korean leader, Kim Jong Un, to say Trump would "pay dearly" for making such a threat.
Pyongyang conducted its sixth and largest nuclear test on September 3 and has launched dozens of missiles this year as it accelerates its nuclear weapons programme.
In a separate development, China moved to limit the North Korea's oil supply and stop buying textiles from the country, in line with the latest United Nations sanctions.