He added that such military drills are "very expensive" and significants costs could be saved if they ended. Earlier today, when the contents of the documents remained maddeningly vague, Kim assured reporters that "the world will see a major change".
In a joint statement, Kim and Trump agreed to the denuclearization of the Korean Peninsula in exchange for security guarantees for the DPRK, something Trump has confirmed.
Via a translator, Kim said "today, we had a historic meeting and chose to leave the past behind".
"We're both going to do something, and we've developed a very special bond".
Veteran North Korea analyst Andrei Lankov said the deal had little value: "North Korea will be emboldened and the USA got nothing".
"The United States and North Korea have been in a state of antagonism for more than half a century", China's Foreign Minister Wang Yi told reporters at a news conference in Beijing following a meeting with ASEAN Secretary-General Lim Jock Hoi.
Trump seemed to hold an optimistic take on Kim's intentions, saying that the dictator "really wants to do something I think terrific for their country".
The exercises are held several times each year, focusing on everything from warding off a North Korean attack on its neighbor to the south to "decapitation" strikes aimed at killing key members of the Kim regime.
Trump did not refer to the document as a treaty or agreement.
Kim's team had problems with the pen provided at the signing ceremony.
"I took those bullets, I took all that", he said.
They began their summit in a carefully choreographed encounter at 9 a.m. The two men were each accompanied only by an interpreter, raising concerns among experts.
The former National Basketball Association star was in Singapore for the summit, although the White House has repeatedly said he's not an official part of the USA delegation.
It also marks a diplomatic landmark between the two countries with a long history of tense ties.
With Trump and Kim both known for making exaggerated, if not entirely false claims, those notes could be key to understanding Kim as a leader and furthering plans for peace on the Korean Peninsula. Previous US Presidents have made several attempts to get Pyongyang to give up its nuclear weapons, without success.