North Korea's official Korean Central News Agency called the launch a new type of "medium long-range" ballistic rocket that can carry a heavy nuclear war head.
North Korea's official Rodong Sinmun devoted half of its six-page edition on Monday to coverage of the missile test, including vivid photographs of the launch and a jubilant Kim Jong-un celebrating with military officers.
North Korea is believed to be developing an intercontinental ballistic missile capable of carrying a nuclear warhead and reaching the USA mainland, though the US military's Pacific Command said the type of missile fired on Sunday was "not consistent" with an ICBM.
North Korea has also launched satellites into orbit on long-range rockets that share some of the same technology as missiles. It said the newly developed Hwasong-12 flew as high as 2,111 kilometres (1,310 miles) before landing in a targeted area in the ocean about 787 kilometres (490 miles) from the launch site.
The White House issued an unusual statement that said Sunday's missile landed closer to Russian Federation than Japan.
Moon, a strong apologist for former Presidents Kim Dae-jung and Roh Moo-hyun's Sunshine Policy, which highlighted engagement with the North, took a more critical tone Sunday, calling the missile test a "blatant violation of the UN Security Council resolutions" and a "grave threat" to the Korean Peninsula and the global security.
"Successive administrations over 25 years have attempted to engage China unsuccessfully, but, for the first time, the Chinese appear to be focused on containing the nuclear ambitions of North Korea, so I think the [Trump] administration is pursuing a correct strategy", Faso said.
What's worrying to the United States, among other countries, is that if this missile were fired at a different trajectory, it could have reached the US Andersen Air Force Base in Guam, according to aerospace engineer John Schilling's 38 North blog, which is published by the US Korea Institute at Johns Hopkins University.
The pride in North Korea contrasts with concern in Seoul, the capital of South Korea, which condemned Sunday's launch and called it a serious violation of U.N. Security Council resolutions prohibiting North Korea from conducting long-range missile tests.
"We believe the possibility of that is low", said Roh Jae-cheon, a spokesman for South Korea's Office of the Joint Chiefs of Staff.
North Korea's state media generally confirmed those estimates. The report also stated America's mainland and operations in the Pacific region are in North Korea's "sighting range for a strike and that it has all-powerful means for a retaliatory strike". On Monday, South Korea's unification ministry warned North Korea to not miscalculate the situation.
Moon, South Korea's first liberal leader in almost a decade, said as he took his oath of office last week that he'd be willing to visit North Korea if the circumstances were right.
U.S. Pacific Command said "the flight is not consistent with an intercontinental ballistic missile".
The United States called for tougher sanctions against the North, with the White House saying it "has been a flagrant menace for far too long". In a show of force, the United States sent an aircraft carrier strike group, led by the USS Carl Vinson, to waters off the Korean peninsula to conduct drills with South Korea and Japan.