The experts said it also means Washington will continue to deny Pyongyang meaningful dialogue unless it's willing to discuss serious changes to its nuclear weapons program and human rights conditions.
In his first State of the Union address, Trump warned that North Korea would "very soon" threaten the United States with nuclear-tipped missiles.
He also warned of the dangers from other "rogue regimes," like Iran, terrorist groups, like the Islamic State, and "rivals" like China and Russia "that challenge our interests, our economy and our values."
Du Hyeogn Cha, a visiting scholar at Seoul's Asan Institute for Policy Studies, said that for North Korea, it has to hurt that Trump declared the country as a regime that cannot co-exist with the founding values of the United States.
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"He made it clear that his 'maximum pressure and engagement' policy will continue to be the only way going forward," he said. "It was probably the worst message he could deliver to the North without issuing a direct military threat."
News of the speech was not immediately broadcast in North Korea on Wednesday, which is not unusual. It often takes a day or more before the North responds officially and few North Koreans were likely even aware that Trump was to make a major address before the nation and the world.
The North's state-run media has, however, amped up its anti-U.S. rhetoric lately, accusing Washington of trying to create tensions ahead of the Pyeongchang Winter Olympics.
In Beijing, China called on the U.S. to drop what it terms a "Cold War mentality and zero-sum ideology."
Foreign Ministry spokeswoman Hua Chuying said that common interests outweigh differences between the sides and the U.S. should view the relationship "correctly."
China's $275 billion trade surplus with the US has been a constant source of tension, alongside their growing rivalry for military supremacy in Asia and accusations of intellectual property theft.
Zarif tweeted: "Trump again confirms his ignorance of Iran & region. Everyone knows where he stands; and it's certainly not with Iranians."
Earlier, Iranian President Hassan Rouhani said the people of Iran will continue supporting the Islamic Republic despite foreign pressure.
Rouhani said in remarks broadcast by state TV: "The Iranian nation will never give up Imam Khomeini's legacy; Islamism and Republicanism. Return is impossible."
In the Philippines, Defense Secretary Delfin Lorenzana told The Associated Press that it did not really matter that Trump failed to mention US policy on the South China Sea disputes involving China, the Philippines and four other governments, but that Manila would lend its support to fighting terrorism whenever the efforts of the two nations coincide.