The president had announced a halt in the drills after his meeting with Kim on Tuesday.
On the issue the world has been most fixated on - North Korea's pursuit of a nuclear arsenal meant to target the entire U.S. mainland - Trump and Kim signed a joint statement that contained a repeat of past vows to work toward a denuclearised Korean Peninsula.
On Tuesday the United States and North Korean leaders met face-to-face for the first at the Capella Hotel on Sentosa Island in Singapore. He thinks he's coming into this meeting from a position of strength because he has reached certain capability in his nuclear missile program.
"Featuring President Donald Trump and Chairman Kim Jong Un, in a meeting to remake history, to shine in the sun", the narrator says. Ri is best remembered outside North Korea for her emotional deliveries of the deaths of Kim Jong Il and Kim Il Sung, Kim Jong Un's father and grandfather.
U.S. Secretary of State Mike Pompeo signalled on June 11 that the Trump administration didn't expect an immediate breakthrough at the Trump-Kim meeting, but rather hoped it would create an opening for more extended negotiations.
"On the other hand, Kim wants a peace treaty to replace the armistice he wants a guarantee from the United States that they won't bring about regime change and he wants a lifting of sanctions so North Korea can join the global economic community and get on with it". President Trump claimed that North Korea "has great potential for the future".
Trump's comment that the threat was now over was unlikely to provide relief to Japan and South Korea, both home to large US military presences, as both expressed concerns over his decision to halt the military exercises, which Pyongyang has long claimed are preparations for an invasion.
Trump has defended the agreement as a major step in dealing with the threat of nuclear-armed North Korea and said he believed Kim's government would start the process of living up to the agreement right away.
News of the summit itself had not yet been reported in the North as of late Tuesday night.
Pukguksong-2's development raised concerns in South Korea because solid-fuel missiles are much easier to move and launch on short notice compared to weapons using liquid fuel.
"They want the remains of their fathers, and mothers, and all of the people that got caught into that really brutal war, which took place, to a large extent, in North Korea".
He said it's meaningful in itself that the leaders of the United States and North Korea met, talked and signed an agreement that will carry more weight and significance than any pact previously made between the wartime foes. "No longer - sleep well tonight!"
When asked whether Trump was jumping the gun by declaring victory, White House counselor Kellyanne Conway told reporters: "This president wants North Korea to completely denuclearize so obviously that has to be complete, verifiable and irreversible". -South Korea military exercises, handing North Korea a win on one of its longtime policy goals.
But it did also make nuclear war all but inconceivable at the present moment.
Mr Trump said during the press conference at the end of the summit that "the sanctions will come off when we are sure that the nukes are no longer a factor". The issue of North Korea's abysmal human rights record, which Trump said he and Kim touched on during their summit, is also left to be addressed in a more formal way.
"For North Korea, they got exactly what they wanted", Moon Seong-mook, a former South Korean military official and current head of the Unification Strategy Center in Seoul.
USA secretary of state Mike Pompeo arrived at Osan Air Base south of Seoul from Singapore early on Wednesday evening.