Kim also said the country, despite "limitless" global sanctions, has almost completed the building of its nuclear weapons force and called for "all-state efforts" to reach the goal and obtain a "capacity for nuclear counterattack the U.S. can not cope with".
Pictures of the North Korean leader watching the latest ballistic missile fly from a moving launcher were released by the agency, where he was also seen surrounded by several officials.
"We should clearly show the big power chauvinists how our state attain the goal of completing its nuclear force despite their limitless sanctions and blockade", Kim was quoted as saying by KCNA.
Last month, Trump warned North Korea that if it continues to threaten the United States, it "will be met with fire and fury like the world has never seen", accusing North Korean leader Kim Jong Un of being "very threatening".
China and Russian Federation, two countries critics say are economic enablers of North Korea's nuclear weapons and ballistic missile programs, have claimed that Pyongyang's weapons development should be addressed through dialogue, not additional sanctions.
"We condemn it", Moon said.
Pyongyang is seeking to develop nuclear-tipped intercontinental ballistic missiles (ICBMs) capable of reaching the US mainland.
In a press statement released on Friday, the 15 council members urged all United Nations member states to "fully, comprehensively and immediately" implement all relevant Security Council resolutions concerning North Korea, particularly the newly adopted Resolution 2375, which targeted North Korea's oil supply and textile exports, Xinhua news agency reported.
This meeting which is due to be held later on Friday, comes as a result of fresh calls from the United States and Japan.
North Korea fired a ballistic missile over Japan and into the Pacific on Friday, responding to new United Nations sanctions with what appeared to be its furthest-ever missile flight amid high tensions over its weapons programme. Pacific territory of Guam, which is 2,100 miles from North Korea.
The Kremlin has also been critical of calls from Washington to ramp up the sanction pressure on North Korea.
No new sanctions have been announced at the Council's meeting.
"These continued provocations only deepen North Korea's diplomatic and economic isolation".
President Trump has said they are ready for a military option, if needed, he said speaking after Friday's missile test: "Once again shown its utter contempt for its neighbours, and the entire world community".