Kim has "expressed great satisfaction over the result of the test-fire", according to Yonhap on Saturday, citing the Korean Central News Agency (KCNA).
The North Korean outlet claims Pyongyang's firing of its "newly-developed large-caliber multiple launch guided rocket system early on Friday morning" was carried out to "examine" its air performance and measure its ability to control the missiles.
The referenced launch, carried out Friday, involved the firing of two short-range projectiles from Yonghung, South Hamgyong Province. Yonhap reported the missiles reached an altitude of 25 kilometres and flew approximately 220 kilometres before landing in the East Sea at 2:59 a.m. and 3:23 a.m.
When asked about North Korea's recent missile launches on Friday, US President Donald Trump told reporters that Pyongyang's actions were "very standard".
"Short-range missiles, we never discussed that", Trump explained.
The first test of North Korea's new rocket system occurred on Wednesday. These two ballistic, short-range missiles flew between 240 and 330 kilometres and landed in the Sea of Japan.
Prior to the launch on 31 July, the DPRK also carried out a missile test on 25 July. Those particular projectiles flew 430 kilometres before also falling into the Sea of Japan.