Meanwhile, South Korea's military said the North had launched two "unidentified projectiles" that landed in the waters off the peninsula's east coast after reaching an altitude of about 18 miles and flying a distance of about 142 miles.
The statement also called Moon an "impudent guy" who is "overcome with fright" and said a dialogue between the two countries would be impossible considering South Korea's on-going military drills with the US.
South Korea, a staunch USA ally since the 1950-53 Korean War, is eager to improve relations but also has pledged to enforce US -led worldwide sanctions aimed at punishing the North Korean regime for its nuclear program.
The North has protested against joint U.S.
According to experts, US President Donald Trump's belittle of North Korea's missile tests has allowed it to step up those activities at a time when it is trying to increase its weight before the resume of any talks, which may happen sometime after the end of the joint Seoul and Washington military exercises later this month.
On Thursday, Moon urged the North to return to dialogue as he vowed to "solidify denuclearization and peace" on the Korean Peninsula before his term ends in 2022.
Pyongyang's participation in the games warmed ties between the two Koreas, giving way to three summits between Moon and North Korean leader Kim Jong-un.
A spokesman for the North's Committee for the Peaceful Reunification of the Country blasted Moon over his pledge in a statement carried by the official Korean Central News Agency, saying his comments "make the boiled head of a cow provoke a side-splitting laughter".
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Briefing media on the results of an hourslong emergency National Security Council session held via videoconferencing, Cheong Wa Dae characterized two projectiles fired earlier in the day as "short-range" ones but stopped short of revealing other details.
A senior Trump administration official told The Japan Times that the US was "aware of reports" of the launches and was continuing to monitor the situation.
An official at Seoul's defence ministry said the latest test involved ballistic technology and detailed analysis was under way with the United States with the possibility that the North fired the same type of missiles it used on August 10.
Calling his Thursday speech on the anniversary of Korea's liberation from Japanese rule on "foolish" and a "citation of spiritual slogans", the statement, attributed to a CPRC spokesperson, said Moon's labeling of the North's weapons tests as "worrisome acts" were "reckless remarks".
Speaking to reporters on Friday, a presidential official said the Seoul government has consistently maintained the principle of resolving issues through dialogue and is continuing to seek talks.
The comments, which came during an interview with Voice of America on Wednesday and were a reiteration of previous assertions by Mr. Bolton, apparently fell on deaf ears in Pyongyang, where the Kim regime sped ahead with fresh tests Friday morning, according to South Korean officials. -South Korea drills were a sign of Seoul's hostility towards the North.
"They can clearly see what we feel now, i.e. we have nothing to talk any more with the South Korean authorities nor have any idea to sit with them again", it added.
It was "senseless" to think that inter-Korean dialogue would resume once the military drills with the United States were over, he said.