"USFK has received no updated guidance on execution or cessation of training exercises - to include this fall's schedule Ulchi Freedom Guardian", US Forces in Korea's Lieutenant-Colonel Jennifer Lovett said in a statement.
Trump expressed his intention to halt US-South Korea joint military exercises, offer security guarantees to the North and lift sanctions against it as relations improve, according to a report by the Korean Central News Agency (KCNA).
Trump also said he hopes the thaw in relations with North Korea will eventually allow him to withdraw USA troops from the peninsula.
US Secretary of State Mike Pompeo arrived in South Korea on Wednesday to discuss details of how denuclearisation could be achieved. "No longer - sleep well tonight!"
Last year's talking point was that Trump, with his "fire and fury" talk, was leading the US into a nuclear war with North Korea.
While he wouldn't go into specific timelines, he said "absolutely" the administration wants major steps in the next two years.
"Everybody can now feel much safer than the day I took office", Trump said on Twitter.
Last year, about 50,000 South Korean and 17,500 US troops participated in Ulchi-Freedom Guardian, billed as the world's largest command-and-control exercise and aimed at defending against a North Korean attack. It will be the first ever meeting between a sitting US President and North Korean leader.
There was some confusion in the U.S. over precisely what military cooperation Mr Trump had promised to halt.
But it is important to note that Trump's rationale was to scrap the war games, not because they offend and worry the DPRK - but, as he himself stated to the media, because they cost a lot of money.
"I'm very optimistic that we will have a successful outcome from our meetings tomorrow", he said.
Trump and Kim were returning to their respective strongholds following the talks - but to far different receptions. "My meeting with Chairman Kim was honest, direct and productive".
"I don't know exactly what form that will take, but I'm very confident that by some time in the next week or so we will begin the engagement". "There is no longer a Nuclear Threat from North Korea".
The two leaders met on Tuesday, signing a brief declaration on denuclearisation and reducing tensions. There is no longer a Nuclear Threat from North Korea.
And then he added that, "I find that question insulting and ridiculous and frankly ludicrous", adding that "one ought not play games with serious matters like this".
"Otto did not die in vain".
Body language experts said that in the 13 seconds or so the United States president held on to the hand of Kim for the first time, he projected his usual dominance by reaching out first, and patting the North Korean leader's shoulder.
"Kim Jong Un got what he wanted at the Singapore Summit: the global prestige and respect of a one-on-one meeting with the American president, the legitimacy of North Korean flags hanging next to American flags in the background", said Paul Haenle, director of the Carnegie-Tsinghua Center.
The White House said preparatory negotiations had "moved more quickly than expected" and Donald Trump would leave on Tuesday evening after his talks with Kim Jong-un, ruling out the possibility the unprecedented tete-a-tete would run to two days. "The world will see a major change".
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