The projectiles were fired from South Pyongan Province, which surrounds the capital city of Pyongyang, and landed in the waters off North Korea's east coast, South Korean officials said.
Kim was accompanied by senior military personnel and officials with the Workers' Party of Korea during the tests, KCNA said. He said the weapons system "has been finally verified in terms of combat operation" and "running fire test" is what remains to be done. It was not clear what such a test would entail.
KCNA reported that Kim said future tasks and steadily attaining goals to cutting-edge national defense were also needed.
President Trump has downplayed a slew of recent weapons tests by the North this year. The latest was the tenth such launch since May. He has said the short-range firings do not violate any agreements.
Before Tuesday's launchings, North Korean officials said they would be willing to restart denuclearization negotiations with American officials.
Talks between Trump and Kim fell apart in February when Trump rejected Kim's demand for sanctions relief in exchange for partial denuclearization.