The missile, the first test since Mr Trump became president, was launched around at 7.55am (2.55am UAE time) from Banghyon air base in the western province of North Pyongan, and flew east towards the Sea of Japan, the South Korean defence ministry said.
South Korea's military said Sunday the rocket is a "new solid-propulsion long-range missile", and later on Monday Seoul's joint chiefs said the "Pukguksong-2 appears to be a solid-fuel driven midrange ballistic missile", or IRBM.
"This demonstrates the irrational nature of the Kim Jong Un regime that has been fanatically obsessed with its nuclear and missile development", the foreign ministry said in a statement, adding the launch was an "explicit and clear violation" of United Nations resolutions.
North Korea said it had fired off a new medium-to-long-range ballistic missile Sunday despite resolutions by the United Nation's prohibiting such tests and the totalitarian regime's continued advancement of weapons and nuclear materials.
The source elaborated that South Korea could fire a Hyunmoo-2A missile with a range of more than 300 kilometers or the Hyunmoo-2B misslie with a range of over 500 km.
The missile fired on Sunday was launched at a high angle in consideration of the safety of neighboring countries, KCNA news agency said. Abe called the move "absolutely intolerable", while Trump said his administration "stands behind Japan, its great ally, 100 percent".
February 16 marks the birthday of late Kim Jong Il, the former North Korean leader and Kim Jong Un's father, and US forces will launch a regular joint exercise with South Korean military next month.
CBS Radio to merge with Entercom Communications, forming radio giant
The companies will use a so-called reverse Morris Trust structure, whereby a spinoff and merger happen nearly simultaneously. Locally, Entercom owns WEEI sports radio while CBS Radio owns competitor 98.5 The Sports Hub.
He said the important point was that the USA was inheriting a situation around the world that is as challenging as "any we have ever seen in our lives". Joseph Yun, spoke with his South Korean and Japanese counterparts and affirmed close coordination with the two countries, the official said.
The UN Security Council has imposed six sets of sanctions since North Korea's first nuclear test in 2006.
North Korea conducted its fifth test of a nuclear device past year and was seen by experts and officials to be making progress in its weapons capabilities.
After previous ballistic missile tests, the Security Council has issued a strong condemnation, called for redoubled efforts to fully implement sanctions, and reiterated the importance of maintaining peace and stability on the Korean Peninsula and in northeast Asia.
But the measures have not deterred North Korean leader Kim Jong-Un from pursuing his nuclear ambitions.