"In coordination with our ROK (South Korean) partners, we will continue with our current military posture until we receive updated guidance from the Department of Defense (DoD) and/or Indo-Pacific Command (INDOPACOM)", it added.
Trump's surprise, nearly offhand comments, made during a news conference after his summit with North Korean leader Kim Jong Un, seemingly upended decades of the USA defense posture on the Korean Peninsula.
Trump and Kim's joint pledge to work toward "complete denuclearisation of the Korean peninsula" was widely interpreted as failing to convince North Korea to accept Washington's definition that calls for Pyongyang to get rid of its arsenal.
The summit between the two leaders occurred on Monday evening USA time and Tuesday in Singapore, ending with Trump and Kim vowing to "denuke" North Korea. According to current reports, it ended amicably with the two shaking hands and smiling, though details of their plan still need to be hashed out.
USA soldiers hang a South Korean flag on top of their tank during a military exercise north of Seoul, South Korea, on May 30, 2013.
Ms Bishop described the summit as the first positive development involving North Korea in more than a decade, but said the test would be verification Pyongyang's nuclear weapons program had been destroyed.
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He said he was "going in with a very positive attitude and I think we will come out fine". The Prime Minister's Office responded by saying Trudeau has been consistent with Trump.
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"There is no single change in the suspension of the South-U.S. joint military exercise compared to the past", Nam said.
"If we end the "named exercises" and shift to a routine training regimen of a winter and summer training cycle - just as the North Korean People's Army conducts - in which we can conduct sufficient training, that will ensure readiness of the combined forces then we will be OK", he said.
But others point out that there would be little good to come from the USA president publicly bashing Kim while attempting diplomacy, and suggest that this is Trump's way of buttering up the brutal dictator.
American adults have supported working toward denuclearization of North Korea using diplomacy and peaceful efforts for many years.
"We'll have to see the concrete steps that North Korea takes", she told the ABC. "I was a little concerned that the president would give away our issue with regard to military exercises without getting something in return".
Kelly Magsamen, a national security specialist with the Center for American Progress, said Tuesday's agreement contained no specific commitments by North Korea.
"At the same time, there needs to be a peace mechanism for the peninsula, to resolve North Korea's reasonable security concerns", he said.