The North's Korean Central News Agency said Kim, accompanied by top military and ruling Workers' Party officials, supervised the two rounds of test-firings at an unidentified place on Tuesday.
It is North Korea's tenth round of weapons tests since early May, when Pyongyang resumed launching ballistic missiles following a year-and-a-half hiatus.
"We'll see what happens, but I always say having meetings is a good thing", he told reporters.
The launch was the North's first in 17 days, but its 10th missile test this year, as Pyongyang appears to be pressuring the USA amid their stalled dialogue process.
Kim and Trump met again at the Korean border in late June and agreed to restart diplomacy, but there have no public meetings between the sides since then. North Korea is widely believed to want the United States to provide security guarantees and extensive relief from US-led sanctions in return for limited denuclearization steps.
"I want to believe that the USA side would come out with an alternative based on a calculation method that serves both sides' interests and is acceptable to us", Choe said.
But Choe said the United States has to produce an "acceptable calculation" or risk the end of the talks, apparently a statement aimed at pushing the United States toward making concessions to North Korea, such as on the economic sanctions.
Although Chairman Kim and Trump have enjoyed a friendly relationship, the North Korean government has not been so fond of other US negotiators, such as Secretary of State Mike Pompeo.
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A report posted by a United Nations panel of gurus very last week reported North Korea's enhancement of nuclear warheads has not stopped, in spite of the moratorium it declared on nuclear blasts and prolonged-assortment missile launches.
"Any North Korea actions that heighten tensions do not help with efforts to ease them on the Korean Peninsula", the joint chiefs of staff said.
Regardless of Bolton's departure, Washington has given no indication that it will soften its demand for North Korea's ultimate denuclearisation, even though with Bolton gone, the risky all-or-nothing gambit is unlikely to be repeated.
"Our military is monitoring the situation in case of additional launches and maintaining a readiness posture", the JCS said in a release. "We are continuing to keep track of the scenario and consulting closely with our allies in the location".
"It is meant to send a message to the USA that....it can go further next year during the presidential race", says the analyst Kim.
Tuesday's launches were the eighth round of launches since late July and the first since August 24.
The North Korean weapons tested in the past weeks were all short-range, and the country is still keeping its promise not to carry out nuclear and long-range missile tests.