Early in the morning of August 6, North Korea launched several short-range missiles from a western base in South Hwanghae Province overland towards the East Sea.
North Korea's official Rodong Sinmun also published photos showing what appeared to be a missile soaring from a launcher installed on a vehicle and Kim smiling and celebrating with military officials.
"In the meantime, I say it again, there have been no nuclear tests", he said of the North.
The recent North Korean missile tests raised questions about the future of dialogue.
Pyongyang has repeatedly criticised joint US-South Korean drills, claiming that they are a "rehearsal for an invasion" of North Korea.
The exercises are mainly computer-simulated and are more low key than previous drills between the US and South Korea, which the North has deemed as provocations.
Thus, the beginning of US-North Korean contacts at the ad hoc level, which Kim Jong-un and Donald Trump agreed to at the June 30 meeting in Panmunjom, is delayed, at least until the end of the drills. At their second meeting in Vietnam in February, Trump rejected Kim's demand for widespread sanctions relief in return for dismantling the North's main nuclear complex, a partial disarmament step.
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But a spokesman for the South Korean Foreign Ministry told reporters on Thursday that the negotiations had not yet begun.
'There may be a United Nations violation, but Chairman Kim does not want to disappoint me with a violation of trust, there is far too much for North Korea to gain - the potential as a Country, under Kim Jong Un's leadership, is unlimited.
The topic also could come up when Defense Secretary Mark Esper holds talks with his South Korean counterpart in Seoul on Friday as part of his first official trip to Asia in his new role.
USA national security adviser John Bolton highlighted on Tuesday Mr Kim's pledge to Mr Trump not to resume tests of intercontinental-range missiles that threaten the United States.
"Democratic People's Republic of Korea cyber actors, many operating under the direction of the Reconnaissance General Bureau, raise money for its WMD (weapons of mass destruction) programs, with total proceeds to date estimated at up to two billion USA dollar", it noted.
"But Pyongyang shows no appreciation for this, keeping its own exercise schedule unchanged, conducting provocative weapons tests and dialling up its rhetoric", he said.