The drill is designed in the spirit of the US-South Korean mutual defense treaty of 1953, the Pentagon said.
However speaking opposite Secretary Pompeo on Thursday, South Korean Foreign Minister Kang Kyung-wha said decisions to suspend the exercises would "require consultations". USA defence analysts have said Kim retains as many as 60 nuclear bombs and a range of missiles, including some he says can strike the US.
Joel Wit, a Stimson Center senior fellow and North Korea expert, told NPR that in such a timeline "you could probably disarm key portions of the North Korea nuclear program".
Secretary of State Mike Pompeo has reaffirmed the U.S.'s "iron-clad" commitment to its alliance with Japan and South Korea and said that sanctions on North Korea will not be lifted until its complete denuclearization is realized.
But the summit statement reference to North Korea committing to work toward the complete denuclearization of the peninsula has used been by North Korea in the past to include a USA nuclear umbrella in the region, and echoes promises it has failed to keep.
"Just landed - a long trip, but everybody can now feel much safer than the day I took office", Trump tweeted as he arrived back in Washington. He tweeted Wednesday that "there is no longer a nuclear threat from North Korea" as a result of his work, and he has been critical of the press for its general disparagement of the summit.
Trump was also accused of being overly flattering is his language toward Kim, who leads one of the most repressive governments in the world, after saying the North Korean leader was a "talented man" who "loves his country very much". "North Korea has great potential for the future!", he wrote.
On Wednesday, a lawmaker in the ruling Liberal Democratic Party said Kim made no reference to North Korea's long-held position on the issue of its past abductions of Japanese citizens during his summit with President Trump.
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Trump went on: "So he's a very smart guy, he's a great negotiator and I think we understand each other".
Pompeo had told reporters on Wednesday that the North Korean nuclear disarmament could take two years to complete. But for the rest of us who are watching and know the history of North Korea, we should be skeptical.
Tokyo is working on arranging a meeting between Prime Minister Shinzo Abe and Kim, with one possibility being an Abe visit to Pyongyang around August, the Yomiuri newspaper reported.
Sputnik: What do you make of the coverage of by North Korean state media of the summit?
Trump said, 'We're flying planes in from Guam, we're bombing empty mountains for practice.
South Korea's Blue House offered cautious assent to Trump's controversial statement Wednesday that the US would halt "war games" on the Korean Peninsula, saying the suspension of joint military drills may be necessary to assist in denuclearization talks, according to Yonhap news agency. He also welcomed the diplomatic progress made at the summit, but sought clarification at the trilateral meeting that North Korea's short-range ballistic missile arsenal that could target the mainland of Japan and its chemical weapons capability would also eliminated as part of the denuclearization deal.
He said that President Ronald Reagan famously called the Union of Soviet Socialist Republics the "evil empire" before coming to an agreement to dismantle Checkpoint Charlie and tear down the Berlin Wall.
US Republican Senator Lindsey Graham said Mr Trump's cost reasoning for halting the exercises was "ridiculous".